What is the Greatest Common Factor of 79056 and 79065?

Greatest common factor (GCF) of 79056 and 79065 is 9.

GCF(79056,79065) = 9

We will now calculate the prime factors of 79056 and 79065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79056 and 79065.

How to find the GCF of 79056 and 79065?

We will first find the prime factorization of 79056 and 79065. After we will calculate the factors of 79056 and 79065 and find the biggest common factor number .

Step-1: Prime Factorization of 79056

Prime factors of 79056 are 2, 3, 61. Prime factorization of 79056 in exponential form is:

79056 = 2⁴ × 3⁴ × 61¹

Step-2: 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-3: Factors of 79056

List of positive integer factors of 79056 that divides 79056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 61, 72, 81, 108, 122, 144, 162, 183, 216, 244, 324, 366, 432, 488, 549, 648, 732, 976, 1098, 1296, 1464, 1647, 2196, 2928, 3294, 4392, 4941, 6588, 8784, 9882, 13176, 19764, 26352, 39528

Step-4: Factors of 79065

List of positive integer factors of 79065 that divides 79056 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79056 and 79065. The biggest common factor number is the GCF number.
So the greatest common factor 79056 and 79065 is 9.

Also check out the Least Common Multiple of 79056 and 79065