Grade 6 Greatest Common Factor Practice Test

Correct answer: A

The correct answer is $12$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: The greatest shared divisor is found from the common factors or prime factors: $48 = 12 \times 4$ and $60 = 12 \times 5$.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: B

The correct answer is $9$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $27 = 9 \times 3$ and $36 = 9 \times 4$, so 9 is the greatest common factor.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: C

The correct answer is $9$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $63 = 9 \times 7$ and $81 = 9 \times 9$.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: D

The correct answer is $18$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $72 = 18 \times 4$ and $90 = 18 \times 5$, so 18 divides both numbers.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: A

The correct answer is $42$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $84 = 42 \times 2$ and $126 = 42 \times 3$.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: B

The correct answer is $48$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $96 = 48 \times 2$ and $144 = 48 \times 3$. No larger common factor is possible.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: C

The correct answer is $25$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $75 = 25 \times 3$ and $100 = 25 \times 4$.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: D

The correct answer is $36$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $108 = 36 \times 3$ and $144 = 36 \times 4$.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: A

The correct answer is $11$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $55 = 11 \times 5$ and $88 = 11 \times 8$.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

Correct answer: B

The correct answer is $24$.

1. List the factors: Find the positive factors of each number or use prime factorization.
2. Identify the common factors: $120 = 24 \times 5$ and $168 = 24 \times 7$.
3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.