What is the Greatest Common Factor of 79086 and 79092?

Greatest common factor (GCF) of 79086 and 79092 is 6.

GCF(79086,79092) = 6

We will now calculate the prime factors of 79086 and 79092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79086 and 79092.

How to find the GCF of 79086 and 79092?

We will first find the prime factorization of 79086 and 79092. After we will calculate the factors of 79086 and 79092 and find the biggest common factor number .

Step-1: Prime Factorization of 79086

Prime factors of 79086 are 2, 3, 7, 269. Prime factorization of 79086 in exponential form is:

79086 = 2¹ × 3¹ × 7² × 269¹

Step-2: Prime Factorization of 79092

Prime factors of 79092 are 2, 3, 13. Prime factorization of 79092 in exponential form is:

79092 = 2² × 3² × 13³

Step-3: Factors of 79086

List of positive integer factors of 79086 that divides 79086 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 269, 294, 538, 807, 1614, 1883, 3766, 5649, 11298, 13181, 26362, 39543

Step-4: Factors of 79092

List of positive integer factors of 79092 that divides 79086 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 2197, 3042, 4394, 6084, 6591, 8788, 13182, 19773, 26364, 39546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79086 and 79092. The biggest common factor number is the GCF number.
So the greatest common factor 79086 and 79092 is 6.

Also check out the Least Common Multiple of 79086 and 79092