What is the Greatest Common Factor of 79674 and 79688?

Greatest common factor (GCF) of 79674 and 79688 is 14.

GCF(79674,79688) = 14

We will now calculate the prime factors of 79674 and 79688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79674 and 79688.

How to find the GCF of 79674 and 79688?

We will first find the prime factorization of 79674 and 79688. After we will calculate the factors of 79674 and 79688 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 79688

Prime factors of 79688 are 2, 7, 1423. Prime factorization of 79688 in exponential form is:

79688 = 2³ × 7¹ × 1423¹

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 79688

List of positive integer factors of 79688 that divides 79674 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1423, 2846, 5692, 9961, 11384, 19922, 39844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79674 and 79688. The biggest common factor number is the GCF number.
So the greatest common factor 79674 and 79688 is 14.

Also check out the Least Common Multiple of 79674 and 79688