What is the Greatest Common Factor of 79128 and 79140?

Greatest common factor (GCF) of 79128 and 79140 is 12.

GCF(79128,79140) = 12

We will now calculate the prime factors of 79128 and 79140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79128 and 79140.

How to find the GCF of 79128 and 79140?

We will first find the prime factorization of 79128 and 79140. After we will calculate the factors of 79128 and 79140 and find the biggest common factor number .

Step-1: Prime Factorization of 79128

Prime factors of 79128 are 2, 3, 7, 157. Prime factorization of 79128 in exponential form is:

79128 = 2³ × 3² × 7¹ × 157¹

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 79128

List of positive integer factors of 79128 that divides 79128 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 157, 168, 252, 314, 471, 504, 628, 942, 1099, 1256, 1413, 1884, 2198, 2826, 3297, 3768, 4396, 5652, 6594, 8792, 9891, 11304, 13188, 19782, 26376, 39564

Step-4: Factors of 79140

List of positive integer factors of 79140 that divides 79128 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 79128 and 79140. The biggest common factor number is the GCF number.
So the greatest common factor 79128 and 79140 is 12.

Also check out the Least Common Multiple of 79128 and 79140