What is the Greatest Common Factor of 79461 and 79467?

Greatest common factor (GCF) of 79461 and 79467 is 3.

GCF(79461,79467) = 3

We will now calculate the prime factors of 79461 and 79467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79461 and 79467.

How to find the GCF of 79461 and 79467?

We will first find the prime factorization of 79461 and 79467. After we will calculate the factors of 79461 and 79467 and find the biggest common factor number .

Step-1: Prime Factorization of 79461

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

79461 = 3⁶ × 109¹

Step-2: Prime Factorization of 79467

Prime factors of 79467 are 3, 26489. Prime factorization of 79467 in exponential form is:

79467 = 3¹ × 26489¹

Step-3: Factors of 79461

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

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

Step-4: Factors of 79467

List of positive integer factors of 79467 that divides 79461 without a remainder.

1, 3, 26489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79461 and 79467. The biggest common factor number is the GCF number.
So the greatest common factor 79461 and 79467 is 3.

Also check out the Least Common Multiple of 79461 and 79467