What is the Greatest Common Factor of 79667 and 79674?

Greatest common factor (GCF) of 79667 and 79674 is 7.

GCF(79667,79674) = 7

We will now calculate the prime factors of 79667 and 79674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79667 and 79674.

How to find the GCF of 79667 and 79674?

We will first find the prime factorization of 79667 and 79674. After we will calculate the factors of 79667 and 79674 and find the biggest common factor number .

Step-1: Prime Factorization of 79667

Prime factors of 79667 are 7, 19, 599. Prime factorization of 79667 in exponential form is:

79667 = 7¹ × 19¹ × 599¹

Step-2: 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-3: Factors of 79667

List of positive integer factors of 79667 that divides 79667 without a remainder.

1, 7, 19, 133, 599, 4193, 11381

Step-4: Factors of 79674

List of positive integer factors of 79674 that divides 79667 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79667 and 79674. The biggest common factor number is the GCF number.
So the greatest common factor 79667 and 79674 is 7.

Also check out the Least Common Multiple of 79667 and 79674