What is the Greatest Common Factor of 79056 and 79068?

Greatest common factor (GCF) of 79056 and 79068 is 12.

GCF(79056,79068) = 12

We will now calculate the prime factors of 79056 and 79068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79056 and 79068.

How to find the GCF of 79056 and 79068?

We will first find the prime factorization of 79056 and 79068. After we will calculate the factors of 79056 and 79068 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 79068

Prime factors of 79068 are 2, 3, 11, 599. Prime factorization of 79068 in exponential form is:

79068 = 2² × 3¹ × 11¹ × 599¹

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 79068

List of positive integer factors of 79068 that divides 79056 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 599, 1198, 1797, 2396, 3594, 6589, 7188, 13178, 19767, 26356, 39534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79056 and 79068. The biggest common factor number is the GCF number.
So the greatest common factor 79056 and 79068 is 12.

Also check out the Least Common Multiple of 79056 and 79068