What is the Greatest Common Factor of 79128 and 79142?

Greatest common factor (GCF) of 79128 and 79142 is 14.

GCF(79128,79142) = 14

We will now calculate the prime factors of 79128 and 79142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79128 and 79142.

How to find the GCF of 79128 and 79142?

We will first find the prime factorization of 79128 and 79142. After we will calculate the factors of 79128 and 79142 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 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 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 79142

List of positive integer factors of 79142 that divides 79128 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79128 and 79142. The biggest common factor number is the GCF number.
So the greatest common factor 79128 and 79142 is 14.

Also check out the Least Common Multiple of 79128 and 79142