What is the Greatest Common Factor of 79011 and 79020?

Greatest common factor (GCF) of 79011 and 79020 is 9.

GCF(79011,79020) = 9

We will now calculate the prime factors of 79011 and 79020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79011 and 79020.

How to find the GCF of 79011 and 79020?

We will first find the prime factorization of 79011 and 79020. After we will calculate the factors of 79011 and 79020 and find the biggest common factor number .

Step-1: Prime Factorization of 79011

Prime factors of 79011 are 3, 8779. Prime factorization of 79011 in exponential form is:

79011 = 3² × 8779¹

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 79011

List of positive integer factors of 79011 that divides 79011 without a remainder.

1, 3, 9, 8779, 26337

Step-4: Factors of 79020

List of positive integer factors of 79020 that divides 79011 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 79011 and 79020. The biggest common factor number is the GCF number.
So the greatest common factor 79011 and 79020 is 9.

Also check out the Least Common Multiple of 79011 and 79020