What is the Greatest Common Factor of 79572 and 79592?

Greatest common factor (GCF) of 79572 and 79592 is 4.

GCF(79572,79592) = 4

We will now calculate the prime factors of 79572 and 79592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79572 and 79592.

How to find the GCF of 79572 and 79592?

We will first find the prime factorization of 79572 and 79592. After we will calculate the factors of 79572 and 79592 and find the biggest common factor number .

Step-1: Prime Factorization of 79572

Prime factors of 79572 are 2, 3, 19, 349. Prime factorization of 79572 in exponential form is:

79572 = 2² × 3¹ × 19¹ × 349¹

Step-2: Prime Factorization of 79592

Prime factors of 79592 are 2, 9949. Prime factorization of 79592 in exponential form is:

79592 = 2³ × 9949¹

Step-3: Factors of 79572

List of positive integer factors of 79572 that divides 79572 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 349, 698, 1047, 1396, 2094, 4188, 6631, 13262, 19893, 26524, 39786

Step-4: Factors of 79592

List of positive integer factors of 79592 that divides 79572 without a remainder.

1, 2, 4, 8, 9949, 19898, 39796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79572 and 79592. The biggest common factor number is the GCF number.
So the greatest common factor 79572 and 79592 is 4.

Also check out the Least Common Multiple of 79572 and 79592