What is the Greatest Common Factor of 95199 and 95212?

Greatest common factor (GCF) of 95199 and 95212 is 13.

GCF(95199,95212) = 13

We will now calculate the prime factors of 95199 and 95212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95199 and 95212.

How to find the GCF of 95199 and 95212?

We will first find the prime factorization of 95199 and 95212. After we will calculate the factors of 95199 and 95212 and find the biggest common factor number .

Step-1: Prime Factorization of 95199

Prime factors of 95199 are 3, 13, 2441. Prime factorization of 95199 in exponential form is:

95199 = 3¹ × 13¹ × 2441¹

Step-2: Prime Factorization of 95212

Prime factors of 95212 are 2, 13, 1831. Prime factorization of 95212 in exponential form is:

95212 = 2² × 13¹ × 1831¹

Step-3: Factors of 95199

List of positive integer factors of 95199 that divides 95199 without a remainder.

1, 3, 13, 39, 2441, 7323, 31733

Step-4: Factors of 95212

List of positive integer factors of 95212 that divides 95199 without a remainder.

1, 2, 4, 13, 26, 52, 1831, 3662, 7324, 23803, 47606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95199 and 95212. The biggest common factor number is the GCF number.
So the greatest common factor 95199 and 95212 is 13.

Also check out the Least Common Multiple of 95199 and 95212