What is the Greatest Common Factor of 79065 and 79080?

Greatest common factor (GCF) of 79065 and 79080 is 15.

GCF(79065,79080) = 15

We will now calculate the prime factors of 79065 and 79080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79065 and 79080.

How to find the GCF of 79065 and 79080?

We will first find the prime factorization of 79065 and 79080. After we will calculate the factors of 79065 and 79080 and find the biggest common factor number .

Step-1: Prime Factorization of 79065

Prime factors of 79065 are 3, 5, 7, 251. Prime factorization of 79065 in exponential form is:

79065 = 3² × 5¹ × 7¹ × 251¹

Step-2: Prime Factorization of 79080

Prime factors of 79080 are 2, 3, 5, 659. Prime factorization of 79080 in exponential form is:

79080 = 2³ × 3¹ × 5¹ × 659¹

Step-3: Factors of 79065

List of positive integer factors of 79065 that divides 79065 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 251, 315, 753, 1255, 1757, 2259, 3765, 5271, 8785, 11295, 15813, 26355

Step-4: Factors of 79080

List of positive integer factors of 79080 that divides 79065 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 659, 1318, 1977, 2636, 3295, 3954, 5272, 6590, 7908, 9885, 13180, 15816, 19770, 26360, 39540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79065 and 79080. The biggest common factor number is the GCF number.
So the greatest common factor 79065 and 79080 is 15.

Also check out the Least Common Multiple of 79065 and 79080