What is the Greatest Common Factor of 79065 and 79072?

Greatest common factor (GCF) of 79065 and 79072 is 7.

GCF(79065,79072) = 7

We will now calculate the prime factors of 79065 and 79072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79065 and 79072.

How to find the GCF of 79065 and 79072?

We will first find the prime factorization of 79065 and 79072. After we will calculate the factors of 79065 and 79072 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 79072

Prime factors of 79072 are 2, 7, 353. Prime factorization of 79072 in exponential form is:

79072 = 2⁵ × 7¹ × 353¹

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 79072

List of positive integer factors of 79072 that divides 79065 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 353, 706, 1412, 2471, 2824, 4942, 5648, 9884, 11296, 19768, 39536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79065 and 79072. The biggest common factor number is the GCF number.
So the greatest common factor 79065 and 79072 is 7.

Also check out the Least Common Multiple of 79065 and 79072