What is the Greatest Common Factor of 79620 and 79625?

Greatest common factor (GCF) of 79620 and 79625 is 5.

GCF(79620,79625) = 5

We will now calculate the prime factors of 79620 and 79625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79620 and 79625.

How to find the GCF of 79620 and 79625?

We will first find the prime factorization of 79620 and 79625. After we will calculate the factors of 79620 and 79625 and find the biggest common factor number .

Step-1: Prime Factorization of 79620

Prime factors of 79620 are 2, 3, 5, 1327. Prime factorization of 79620 in exponential form is:

79620 = 2² × 3¹ × 5¹ × 1327¹

Step-2: Prime Factorization of 79625

Prime factors of 79625 are 5, 7, 13. Prime factorization of 79625 in exponential form is:

79625 = 5³ × 7² × 13¹

Step-3: Factors of 79620

List of positive integer factors of 79620 that divides 79620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1327, 2654, 3981, 5308, 6635, 7962, 13270, 15924, 19905, 26540, 39810

Step-4: Factors of 79625

List of positive integer factors of 79625 that divides 79620 without a remainder.

1, 5, 7, 13, 25, 35, 49, 65, 91, 125, 175, 245, 325, 455, 637, 875, 1225, 1625, 2275, 3185, 6125, 11375, 15925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79620 and 79625. The biggest common factor number is the GCF number.
So the greatest common factor 79620 and 79625 is 5.

Also check out the Least Common Multiple of 79620 and 79625