What is the Greatest Common Factor of 39158 and 39172?

Greatest common factor (GCF) of 39158 and 39172 is 14.

GCF(39158,39172) = 14

We will now calculate the prime factors of 39158 and 39172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39158 and 39172.

How to find the GCF of 39158 and 39172?

We will first find the prime factorization of 39158 and 39172. After we will calculate the factors of 39158 and 39172 and find the biggest common factor number .

Step-1: Prime Factorization of 39158

Prime factors of 39158 are 2, 7, 2797. Prime factorization of 39158 in exponential form is:

39158 = 2¹ × 7¹ × 2797¹

Step-2: Prime Factorization of 39172

Prime factors of 39172 are 2, 7, 1399. Prime factorization of 39172 in exponential form is:

39172 = 2² × 7¹ × 1399¹

Step-3: Factors of 39158

List of positive integer factors of 39158 that divides 39158 without a remainder.

1, 2, 7, 14, 2797, 5594, 19579

Step-4: Factors of 39172

List of positive integer factors of 39172 that divides 39158 without a remainder.

1, 2, 4, 7, 14, 28, 1399, 2798, 5596, 9793, 19586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39158 and 39172. The biggest common factor number is the GCF number.
So the greatest common factor 39158 and 39172 is 14.

Also check out the Least Common Multiple of 39158 and 39172