What is the Greatest Common Factor of 79131 and 79140?

Greatest common factor (GCF) of 79131 and 79140 is 3.

GCF(79131,79140) = 3

We will now calculate the prime factors of 79131 and 79140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79131 and 79140.

How to find the GCF of 79131 and 79140?

We will first find the prime factorization of 79131 and 79140. After we will calculate the factors of 79131 and 79140 and find the biggest common factor number .

Step-1: Prime Factorization of 79131

Prime factors of 79131 are 3, 13, 2029. Prime factorization of 79131 in exponential form is:

79131 = 3¹ × 13¹ × 2029¹

Step-2: Prime Factorization of 79140

Prime factors of 79140 are 2, 3, 5, 1319. Prime factorization of 79140 in exponential form is:

79140 = 2² × 3¹ × 5¹ × 1319¹

Step-3: Factors of 79131

List of positive integer factors of 79131 that divides 79131 without a remainder.

1, 3, 13, 39, 2029, 6087, 26377

Step-4: Factors of 79140

List of positive integer factors of 79140 that divides 79131 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1319, 2638, 3957, 5276, 6595, 7914, 13190, 15828, 19785, 26380, 39570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79131 and 79140. The biggest common factor number is the GCF number.
So the greatest common factor 79131 and 79140 is 3.

Also check out the Least Common Multiple of 79131 and 79140