What is the Greatest Common Factor of 79142 and 79156?

Greatest common factor (GCF) of 79142 and 79156 is 14.

GCF(79142,79156) = 14

We will now calculate the prime factors of 79142 and 79156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79142 and 79156.

How to find the GCF of 79142 and 79156?

We will first find the prime factorization of 79142 and 79156. After we will calculate the factors of 79142 and 79156 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79156

Prime factors of 79156 are 2, 7, 11, 257. Prime factorization of 79156 in exponential form is:

79156 = 2² × 7¹ × 11¹ × 257¹

Step-3: Factors of 79142

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

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

Step-4: Factors of 79156

List of positive integer factors of 79156 that divides 79142 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 257, 308, 514, 1028, 1799, 2827, 3598, 5654, 7196, 11308, 19789, 39578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79142 and 79156. The biggest common factor number is the GCF number.
So the greatest common factor 79142 and 79156 is 14.

Also check out the Least Common Multiple of 79142 and 79156