What is the Greatest Common Factor of 79300 and 79312?

Greatest common factor (GCF) of 79300 and 79312 is 4.

GCF(79300,79312) = 4

We will now calculate the prime factors of 79300 and 79312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79300 and 79312.

How to find the GCF of 79300 and 79312?

We will first find the prime factorization of 79300 and 79312. After we will calculate the factors of 79300 and 79312 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 79312

Prime factors of 79312 are 2, 4957. Prime factorization of 79312 in exponential form is:

79312 = 2⁴ × 4957¹

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 79312

List of positive integer factors of 79312 that divides 79300 without a remainder.

1, 2, 4, 8, 16, 4957, 9914, 19828, 39656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79300 and 79312. The biggest common factor number is the GCF number.
So the greatest common factor 79300 and 79312 is 4.

Also check out the Least Common Multiple of 79300 and 79312