What is the Greatest Common Factor of 79599 and 79608?

Greatest common factor (GCF) of 79599 and 79608 is 3.

GCF(79599,79608) = 3

We will now calculate the prime factors of 79599 and 79608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79599 and 79608.

How to find the GCF of 79599 and 79608?

We will first find the prime factorization of 79599 and 79608. After we will calculate the factors of 79599 and 79608 and find the biggest common factor number .

Step-1: Prime Factorization of 79599

Prime factors of 79599 are 3, 13, 157. Prime factorization of 79599 in exponential form is:

79599 = 3¹ × 13² × 157¹

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 79599

List of positive integer factors of 79599 that divides 79599 without a remainder.

1, 3, 13, 39, 157, 169, 471, 507, 2041, 6123, 26533

Step-4: Factors of 79608

List of positive integer factors of 79608 that divides 79599 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 79599 and 79608. The biggest common factor number is the GCF number.
So the greatest common factor 79599 and 79608 is 3.

Also check out the Least Common Multiple of 79599 and 79608