What is the Greatest Common Factor of 79124 and 79144?

Greatest common factor (GCF) of 79124 and 79144 is 4.

GCF(79124,79144) = 4

We will now calculate the prime factors of 79124 and 79144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79124 and 79144.

How to find the GCF of 79124 and 79144?

We will first find the prime factorization of 79124 and 79144. After we will calculate the factors of 79124 and 79144 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 79144

Prime factors of 79144 are 2, 13, 761. Prime factorization of 79144 in exponential form is:

79144 = 2³ × 13¹ × 761¹

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 79144

List of positive integer factors of 79144 that divides 79124 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 761, 1522, 3044, 6088, 9893, 19786, 39572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79124 and 79144. The biggest common factor number is the GCF number.
So the greatest common factor 79124 and 79144 is 4.

Also check out the Least Common Multiple of 79124 and 79144