What is the Greatest Common Factor of 79586 and 79599?

Greatest common factor (GCF) of 79586 and 79599 is 13.

GCF(79586,79599) = 13

We will now calculate the prime factors of 79586 and 79599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79586 and 79599.

How to find the GCF of 79586 and 79599?

We will first find the prime factorization of 79586 and 79599. After we will calculate the factors of 79586 and 79599 and find the biggest common factor number .

Step-1: Prime Factorization of 79586

Prime factors of 79586 are 2, 13, 3061. Prime factorization of 79586 in exponential form is:

79586 = 2¹ × 13¹ × 3061¹

Step-2: 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-3: Factors of 79586

List of positive integer factors of 79586 that divides 79586 without a remainder.

1, 2, 13, 26, 3061, 6122, 39793

Step-4: Factors of 79599

List of positive integer factors of 79599 that divides 79586 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79586 and 79599. The biggest common factor number is the GCF number.
So the greatest common factor 79586 and 79599 is 13.

Also check out the Least Common Multiple of 79586 and 79599