QuestionAugust 26, 2025

The greatest common factor of 126 and 98 is: (1 point) 2 7 14 28

The greatest common factor of 126 and 98 is: (1 point) 2 7 14 28
The greatest common factor of 126 and 98 is:
(1 point)
2
7
14
28

Solution
4.0(269 votes)

Answer

14 Explanation 1. Prime Factorization Find the prime factors of 126 and 98. - 126 = 2 \times 3^2 \times 7 - 98 = 2 \times 7^2 2. Identify Common Factors Identify the common prime factors from both factorizations. - Common factors: 2 and 7 3. Calculate GCF Multiply the lowest powers of all common prime factors. - **GCF**: 2 \times 7 = 14

Explanation

1. Prime Factorization<br /> Find the prime factors of 126 and 98. <br />- $126 = 2 \times 3^2 \times 7$<br />- $98 = 2 \times 7^2$<br /><br />2. Identify Common Factors<br /> Identify the common prime factors from both factorizations.<br />- Common factors: $2$ and $7$<br /><br />3. Calculate GCF<br /> Multiply the lowest powers of all common prime factors.<br />- **GCF**: $2 \times 7 = 14$
Click to rate: