What is the Greatest Common Factor of 79653 and 79668?

Greatest common factor (GCF) of 79653 and 79668 is 3.

GCF(79653,79668) = 3

We will now calculate the prime factors of 79653 and 79668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79653 and 79668.

How to find the GCF of 79653 and 79668?

We will first find the prime factorization of 79653 and 79668. After we will calculate the factors of 79653 and 79668 and find the biggest common factor number .

Step-1: Prime Factorization of 79653

Prime factors of 79653 are 3, 7, 3793. Prime factorization of 79653 in exponential form is:

79653 = 3¹ × 7¹ × 3793¹

Step-2: Prime Factorization of 79668

Prime factors of 79668 are 2, 3, 2213. Prime factorization of 79668 in exponential form is:

79668 = 2² × 3² × 2213¹

Step-3: Factors of 79653

List of positive integer factors of 79653 that divides 79653 without a remainder.

1, 3, 7, 21, 3793, 11379, 26551

Step-4: Factors of 79668

List of positive integer factors of 79668 that divides 79653 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2213, 4426, 6639, 8852, 13278, 19917, 26556, 39834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79653 and 79668. The biggest common factor number is the GCF number.
So the greatest common factor 79653 and 79668 is 3.

Also check out the Least Common Multiple of 79653 and 79668