What is the Greatest Common Factor of 79452 and 79461?

Greatest common factor (GCF) of 79452 and 79461 is 9.

GCF(79452,79461) = 9

We will now calculate the prime factors of 79452 and 79461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79452 and 79461.

How to find the GCF of 79452 and 79461?

We will first find the prime factorization of 79452 and 79461. After we will calculate the factors of 79452 and 79461 and find the biggest common factor number .

Step-1: Prime Factorization of 79452

Prime factors of 79452 are 2, 3, 2207. Prime factorization of 79452 in exponential form is:

79452 = 2² × 3² × 2207¹

Step-2: Prime Factorization of 79461

Prime factors of 79461 are 3, 109. Prime factorization of 79461 in exponential form is:

79461 = 3⁶ × 109¹

Step-3: Factors of 79452

List of positive integer factors of 79452 that divides 79452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2207, 4414, 6621, 8828, 13242, 19863, 26484, 39726

Step-4: Factors of 79461

List of positive integer factors of 79461 that divides 79452 without a remainder.

1, 3, 9, 27, 81, 109, 243, 327, 729, 981, 2943, 8829, 26487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79452 and 79461. The biggest common factor number is the GCF number.
So the greatest common factor 79452 and 79461 is 9.

Also check out the Least Common Multiple of 79452 and 79461