What is the Greatest Common Factor of 79124 and 79142?

Greatest common factor (GCF) of 79124 and 79142 is 2.

GCF(79124,79142) = 2

We will now calculate the prime factors of 79124 and 79142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79124 and 79142.

How to find the GCF of 79124 and 79142?

We will first find the prime factorization of 79124 and 79142. After we will calculate the factors of 79124 and 79142 and find the biggest common factor number .

Step-1: Prime Factorization of 79124

Prime factors of 79124 are 2, 131, 151. Prime factorization of 79124 in exponential form is:

79124 = 2² × 131¹ × 151¹

Step-2: Prime Factorization of 79142

Prime factors of 79142 are 2, 7, 5653. Prime factorization of 79142 in exponential form is:

79142 = 2¹ × 7¹ × 5653¹

Step-3: Factors of 79124

List of positive integer factors of 79124 that divides 79124 without a remainder.

1, 2, 4, 131, 151, 262, 302, 524, 604, 19781, 39562

Step-4: Factors of 79142

List of positive integer factors of 79142 that divides 79124 without a remainder.

1, 2, 7, 14, 5653, 11306, 39571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79124 and 79142. The biggest common factor number is the GCF number.
So the greatest common factor 79124 and 79142 is 2.

Also check out the Least Common Multiple of 79124 and 79142