What is the Greatest Common Factor of 79005 and 79020?

Greatest common factor (GCF) of 79005 and 79020 is 15.

GCF(79005,79020) = 15

We will now calculate the prime factors of 79005 and 79020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79005 and 79020.

How to find the GCF of 79005 and 79020?

We will first find the prime factorization of 79005 and 79020. After we will calculate the factors of 79005 and 79020 and find the biggest common factor number .

Step-1: Prime Factorization of 79005

Prime factors of 79005 are 3, 5, 23, 229. Prime factorization of 79005 in exponential form is:

79005 = 3¹ × 5¹ × 23¹ × 229¹

Step-2: Prime Factorization of 79020

Prime factors of 79020 are 2, 3, 5, 439. Prime factorization of 79020 in exponential form is:

79020 = 2² × 3² × 5¹ × 439¹

Step-3: Factors of 79005

List of positive integer factors of 79005 that divides 79005 without a remainder.

1, 3, 5, 15, 23, 69, 115, 229, 345, 687, 1145, 3435, 5267, 15801, 26335

Step-4: Factors of 79020

List of positive integer factors of 79020 that divides 79005 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 439, 878, 1317, 1756, 2195, 2634, 3951, 4390, 5268, 6585, 7902, 8780, 13170, 15804, 19755, 26340, 39510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79005 and 79020. The biggest common factor number is the GCF number.
So the greatest common factor 79005 and 79020 is 15.

Also check out the Least Common Multiple of 79005 and 79020