What is the Greatest Common Factor of 79814 and 79828?

Greatest common factor (GCF) of 79814 and 79828 is 14.

GCF(79814,79828) = 14

We will now calculate the prime factors of 79814 and 79828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79814 and 79828.

How to find the GCF of 79814 and 79828?

We will first find the prime factorization of 79814 and 79828. After we will calculate the factors of 79814 and 79828 and find the biggest common factor number .

Step-1: Prime Factorization of 79814

Prime factors of 79814 are 2, 7, 5701. Prime factorization of 79814 in exponential form is:

79814 = 2¹ × 7¹ × 5701¹

Step-2: Prime Factorization of 79828

Prime factors of 79828 are 2, 7, 2851. Prime factorization of 79828 in exponential form is:

79828 = 2² × 7¹ × 2851¹

Step-3: Factors of 79814

List of positive integer factors of 79814 that divides 79814 without a remainder.

1, 2, 7, 14, 5701, 11402, 39907

Step-4: Factors of 79828

List of positive integer factors of 79828 that divides 79814 without a remainder.

1, 2, 4, 7, 14, 28, 2851, 5702, 11404, 19957, 39914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79814 and 79828. The biggest common factor number is the GCF number.
So the greatest common factor 79814 and 79828 is 14.

Also check out the Least Common Multiple of 79814 and 79828