Find the greatest common factor for each pair of numbers that are 25, 49

Answer 1

To find the greatest common factor (GCF) of 25 and 49, we start by determining the prime factorization of each number:

• The prime factorization of 25 is \(5 \times 5\) or \(5^2\).
• The prime factorization of 49 is \(7 \times 7\) or \(7^2\).

Since there are no common prime factors between 25 and 49, the greatest common factor is 1.

Therefore, the greatest common factor (GCF) of 25 and 49 is 1.