What is the Greatest Common Factor of 79674 and 79684?

Greatest common factor (GCF) of 79674 and 79684 is 2.

GCF(79674,79684) = 2

We will now calculate the prime factors of 79674 and 79684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79674 and 79684.

How to find the GCF of 79674 and 79684?

We will first find the prime factorization of 79674 and 79684. After we will calculate the factors of 79674 and 79684 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 79684

Prime factors of 79684 are 2, 11, 1811. Prime factorization of 79684 in exponential form is:

79684 = 2² × 11¹ × 1811¹

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 79684

List of positive integer factors of 79684 that divides 79674 without a remainder.

1, 2, 4, 11, 22, 44, 1811, 3622, 7244, 19921, 39842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79674 and 79684. The biggest common factor number is the GCF number.
So the greatest common factor 79674 and 79684 is 2.

Also check out the Least Common Multiple of 79674 and 79684