What is the Greatest Common Factor of 79140 and 79160?

Greatest common factor (GCF) of 79140 and 79160 is 20.

GCF(79140,79160) = 20

We will now calculate the prime factors of 79140 and 79160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79140 and 79160.

How to find the GCF of 79140 and 79160?

We will first find the prime factorization of 79140 and 79160. After we will calculate the factors of 79140 and 79160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79160

Prime factors of 79160 are 2, 5, 1979. Prime factorization of 79160 in exponential form is:

79160 = 2³ × 5¹ × 1979¹

Step-3: Factors of 79140

List of positive integer factors of 79140 that divides 79140 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

Step-4: Factors of 79160

List of positive integer factors of 79160 that divides 79140 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1979, 3958, 7916, 9895, 15832, 19790, 39580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79140 and 79160. The biggest common factor number is the GCF number.
So the greatest common factor 79140 and 79160 is 20.

Also check out the Least Common Multiple of 79140 and 79160