What is the Greatest Common Factor of 79605 and 79620?

Greatest common factor (GCF) of 79605 and 79620 is 15.

GCF(79605,79620) = 15

We will now calculate the prime factors of 79605 and 79620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79605 and 79620.

How to find the GCF of 79605 and 79620?

We will first find the prime factorization of 79605 and 79620. After we will calculate the factors of 79605 and 79620 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 79620

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

79620 = 2² × 3¹ × 5¹ × 1327¹

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 79620

List of positive integer factors of 79620 that divides 79605 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79605 and 79620. The biggest common factor number is the GCF number.
So the greatest common factor 79605 and 79620 is 15.

Also check out the Least Common Multiple of 79605 and 79620