What is the Greatest Common Factor of 79300 and 79313?

Greatest common factor (GCF) of 79300 and 79313 is 13.

GCF(79300,79313) = 13

We will now calculate the prime factors of 79300 and 79313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79300 and 79313.

How to find the GCF of 79300 and 79313?

We will first find the prime factorization of 79300 and 79313. After we will calculate the factors of 79300 and 79313 and find the biggest common factor number .

Step-1: Prime Factorization of 79300

Prime factors of 79300 are 2, 5, 13, 61. Prime factorization of 79300 in exponential form is:

79300 = 2² × 5² × 13¹ × 61¹

Step-2: Prime Factorization of 79313

Prime factors of 79313 are 13, 6101. Prime factorization of 79313 in exponential form is:

79313 = 13¹ × 6101¹

Step-3: Factors of 79300

List of positive integer factors of 79300 that divides 79300 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 61, 65, 100, 122, 130, 244, 260, 305, 325, 610, 650, 793, 1220, 1300, 1525, 1586, 3050, 3172, 3965, 6100, 7930, 15860, 19825, 39650

Step-4: Factors of 79313

List of positive integer factors of 79313 that divides 79300 without a remainder.

1, 13, 6101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79300 and 79313. The biggest common factor number is the GCF number.
So the greatest common factor 79300 and 79313 is 13.

Also check out the Least Common Multiple of 79300 and 79313