What is the Greatest Common Factor of 79506 and 79513?

Greatest common factor (GCF) of 79506 and 79513 is 7.

GCF(79506,79513) = 7

We will now calculate the prime factors of 79506 and 79513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79506 and 79513.

How to find the GCF of 79506 and 79513?

We will first find the prime factorization of 79506 and 79513. After we will calculate the factors of 79506 and 79513 and find the biggest common factor number .

Step-1: Prime Factorization of 79506

Prime factors of 79506 are 2, 3, 7, 631. Prime factorization of 79506 in exponential form is:

79506 = 2¹ × 3² × 7¹ × 631¹

Step-2: Prime Factorization of 79513

Prime factors of 79513 are 7, 37, 307. Prime factorization of 79513 in exponential form is:

79513 = 7¹ × 37¹ × 307¹

Step-3: Factors of 79506

List of positive integer factors of 79506 that divides 79506 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 631, 1262, 1893, 3786, 4417, 5679, 8834, 11358, 13251, 26502, 39753

Step-4: Factors of 79513

List of positive integer factors of 79513 that divides 79506 without a remainder.

1, 7, 37, 259, 307, 2149, 11359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79506 and 79513. The biggest common factor number is the GCF number.
So the greatest common factor 79506 and 79513 is 7.

Also check out the Least Common Multiple of 79506 and 79513