What is the Greatest Common Factor of 79908 and 79914?

Greatest common factor (GCF) of 79908 and 79914 is 6.

GCF(79908,79914) = 6

We will now calculate the prime factors of 79908 and 79914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79908 and 79914.

How to find the GCF of 79908 and 79914?

We will first find the prime factorization of 79908 and 79914. After we will calculate the factors of 79908 and 79914 and find the biggest common factor number .

Step-1: Prime Factorization of 79908

Prime factors of 79908 are 2, 3, 6659. Prime factorization of 79908 in exponential form is:

79908 = 2² × 3¹ × 6659¹

Step-2: Prime Factorization of 79914

Prime factors of 79914 are 2, 3, 19, 701. Prime factorization of 79914 in exponential form is:

79914 = 2¹ × 3¹ × 19¹ × 701¹

Step-3: Factors of 79908

List of positive integer factors of 79908 that divides 79908 without a remainder.

1, 2, 3, 4, 6, 12, 6659, 13318, 19977, 26636, 39954

Step-4: Factors of 79914

List of positive integer factors of 79914 that divides 79908 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 701, 1402, 2103, 4206, 13319, 26638, 39957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79908 and 79914. The biggest common factor number is the GCF number.
So the greatest common factor 79908 and 79914 is 6.

Also check out the Least Common Multiple of 79908 and 79914