What is the Greatest Common Factor of 79592 and 79608?

Greatest common factor (GCF) of 79592 and 79608 is 8.

GCF(79592,79608) = 8

We will now calculate the prime factors of 79592 and 79608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79592 and 79608.

How to find the GCF of 79592 and 79608?

We will first find the prime factorization of 79592 and 79608. After we will calculate the factors of 79592 and 79608 and find the biggest common factor number .

Step-1: Prime Factorization of 79592

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

79592 = 2³ × 9949¹

Step-2: Prime Factorization of 79608

Prime factors of 79608 are 2, 3, 31, 107. Prime factorization of 79608 in exponential form is:

79608 = 2³ × 3¹ × 31¹ × 107¹

Step-3: Factors of 79592

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

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

Step-4: Factors of 79608

List of positive integer factors of 79608 that divides 79592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 107, 124, 186, 214, 248, 321, 372, 428, 642, 744, 856, 1284, 2568, 3317, 6634, 9951, 13268, 19902, 26536, 39804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79592 and 79608. The biggest common factor number is the GCF number.
So the greatest common factor 79592 and 79608 is 8.

Also check out the Least Common Multiple of 79592 and 79608