What is the Greatest Common Factor of 79605 and 79625?

Greatest common factor (GCF) of 79605 and 79625 is 5.

GCF(79605,79625) = 5

We will now calculate the prime factors of 79605 and 79625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79605 and 79625.

How to find the GCF of 79605 and 79625?

We will first find the prime factorization of 79605 and 79625. After we will calculate the factors of 79605 and 79625 and find the biggest common factor number .

Step-1: Prime Factorization of 79605

Prime factors of 79605 are 3, 5, 29, 61. Prime factorization of 79605 in exponential form is:

79605 = 3² × 5¹ × 29¹ × 61¹

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 79605

List of positive integer factors of 79605 that divides 79605 without a remainder.

1, 3, 5, 9, 15, 29, 45, 61, 87, 145, 183, 261, 305, 435, 549, 915, 1305, 1769, 2745, 5307, 8845, 15921, 26535

Step-4: Factors of 79625

List of positive integer factors of 79625 that divides 79605 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 79605 and 79625. The biggest common factor number is the GCF number.
So the greatest common factor 79605 and 79625 is 5.

Also check out the Least Common Multiple of 79605 and 79625