What is the Greatest Common Factor of 39725 and 39739?

Greatest common factor (GCF) of 39725 and 39739 is 7.

GCF(39725,39739) = 7

We will now calculate the prime factors of 39725 and 39739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39725 and 39739.

How to find the GCF of 39725 and 39739?

We will first find the prime factorization of 39725 and 39739. After we will calculate the factors of 39725 and 39739 and find the biggest common factor number .

Step-1: Prime Factorization of 39725

Prime factors of 39725 are 5, 7, 227. Prime factorization of 39725 in exponential form is:

39725 = 5² × 7¹ × 227¹

Step-2: Prime Factorization of 39739

Prime factors of 39739 are 7, 811. Prime factorization of 39739 in exponential form is:

39739 = 7² × 811¹

Step-3: Factors of 39725

List of positive integer factors of 39725 that divides 39725 without a remainder.

1, 5, 7, 25, 35, 175, 227, 1135, 1589, 5675, 7945

Step-4: Factors of 39739

List of positive integer factors of 39739 that divides 39725 without a remainder.

1, 7, 49, 811, 5677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39725 and 39739. The biggest common factor number is the GCF number.
So the greatest common factor 39725 and 39739 is 7.

Also check out the Least Common Multiple of 39725 and 39739