What is the Greatest Common Factor of 79125 and 79134?

Greatest common factor (GCF) of 79125 and 79134 is 3.

GCF(79125,79134) = 3

We will now calculate the prime factors of 79125 and 79134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79125 and 79134.

How to find the GCF of 79125 and 79134?

We will first find the prime factorization of 79125 and 79134. After we will calculate the factors of 79125 and 79134 and find the biggest common factor number .

Step-1: Prime Factorization of 79125

Prime factors of 79125 are 3, 5, 211. Prime factorization of 79125 in exponential form is:

79125 = 3¹ × 5³ × 211¹

Step-2: Prime Factorization of 79134

Prime factors of 79134 are 2, 3, 11, 109. Prime factorization of 79134 in exponential form is:

79134 = 2¹ × 3¹ × 11² × 109¹

Step-3: Factors of 79125

List of positive integer factors of 79125 that divides 79125 without a remainder.

1, 3, 5, 15, 25, 75, 125, 211, 375, 633, 1055, 3165, 5275, 15825, 26375

Step-4: Factors of 79134

List of positive integer factors of 79134 that divides 79125 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 109, 121, 218, 242, 327, 363, 654, 726, 1199, 2398, 3597, 7194, 13189, 26378, 39567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79125 and 79134. The biggest common factor number is the GCF number.
So the greatest common factor 79125 and 79134 is 3.

Also check out the Least Common Multiple of 79125 and 79134