What is the Greatest Common Factor of 79674 and 79692?

Greatest common factor (GCF) of 79674 and 79692 is 6.

GCF(79674,79692) = 6

We will now calculate the prime factors of 79674 and 79692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79674 and 79692.

How to find the GCF of 79674 and 79692?

We will first find the prime factorization of 79674 and 79692. After we will calculate the factors of 79674 and 79692 and find the biggest common factor number .

Step-1: Prime Factorization of 79674

Prime factors of 79674 are 2, 3, 7, 271. Prime factorization of 79674 in exponential form is:

79674 = 2¹ × 3¹ × 7² × 271¹

Step-2: Prime Factorization of 79692

Prime factors of 79692 are 2, 3, 29, 229. Prime factorization of 79692 in exponential form is:

79692 = 2² × 3¹ × 29¹ × 229¹

Step-3: Factors of 79674

List of positive integer factors of 79674 that divides 79674 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 271, 294, 542, 813, 1626, 1897, 3794, 5691, 11382, 13279, 26558, 39837

Step-4: Factors of 79692

List of positive integer factors of 79692 that divides 79674 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 229, 348, 458, 687, 916, 1374, 2748, 6641, 13282, 19923, 26564, 39846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79674 and 79692. The biggest common factor number is the GCF number.
So the greatest common factor 79674 and 79692 is 6.

Also check out the Least Common Multiple of 79674 and 79692