What is the Greatest Common Factor of 79914 and 79923?

Greatest common factor (GCF) of 79914 and 79923 is 3.

GCF(79914,79923) = 3

We will now calculate the prime factors of 79914 and 79923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79914 and 79923.

How to find the GCF of 79914 and 79923?

We will first find the prime factorization of 79914 and 79923. After we will calculate the factors of 79914 and 79923 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79923

Prime factors of 79923 are 3, 26641. Prime factorization of 79923 in exponential form is:

79923 = 3¹ × 26641¹

Step-3: Factors of 79914

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

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

Step-4: Factors of 79923

List of positive integer factors of 79923 that divides 79914 without a remainder.

1, 3, 26641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79914 and 79923. The biggest common factor number is the GCF number.
So the greatest common factor 79914 and 79923 is 3.

Also check out the Least Common Multiple of 79914 and 79923