What is the Greatest Common Factor of 79123 and 79134?

Greatest common factor (GCF) of 79123 and 79134 is 11.

GCF(79123,79134) = 11

We will now calculate the prime factors of 79123 and 79134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79123 and 79134.

How to find the GCF of 79123 and 79134?

We will first find the prime factorization of 79123 and 79134. After we will calculate the factors of 79123 and 79134 and find the biggest common factor number .

Step-1: Prime Factorization of 79123

Prime factors of 79123 are 11, 7193. Prime factorization of 79123 in exponential form is:

79123 = 11¹ × 7193¹

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 79123

List of positive integer factors of 79123 that divides 79123 without a remainder.

1, 11, 7193

Step-4: Factors of 79134

List of positive integer factors of 79134 that divides 79123 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 79123 and 79134. The biggest common factor number is the GCF number.
So the greatest common factor 79123 and 79134 is 11.

Also check out the Least Common Multiple of 79123 and 79134