What is the Greatest Common Factor of 79080 and 79095?

Greatest common factor (GCF) of 79080 and 79095 is 15.

GCF(79080,79095) = 15

We will now calculate the prime factors of 79080 and 79095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79080 and 79095.

How to find the GCF of 79080 and 79095?

We will first find the prime factorization of 79080 and 79095. After we will calculate the factors of 79080 and 79095 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79095

Prime factors of 79095 are 3, 5, 5273. Prime factorization of 79095 in exponential form is:

79095 = 3¹ × 5¹ × 5273¹

Step-3: Factors of 79080

List of positive integer factors of 79080 that divides 79080 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

Step-4: Factors of 79095

List of positive integer factors of 79095 that divides 79080 without a remainder.

1, 3, 5, 15, 5273, 15819, 26365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79080 and 79095. The biggest common factor number is the GCF number.
So the greatest common factor 79080 and 79095 is 15.

Also check out the Least Common Multiple of 79080 and 79095