What is the Greatest Common Factor of 79491 and 79497?

Greatest common factor (GCF) of 79491 and 79497 is 3.

GCF(79491,79497) = 3

We will now calculate the prime factors of 79491 and 79497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79491 and 79497.

How to find the GCF of 79491 and 79497?

We will first find the prime factorization of 79491 and 79497. After we will calculate the factors of 79491 and 79497 and find the biggest common factor number .

Step-1: Prime Factorization of 79491

Prime factors of 79491 are 3, 26497. Prime factorization of 79491 in exponential form is:

79491 = 3¹ × 26497¹

Step-2: Prime Factorization of 79497

Prime factors of 79497 are 3, 11, 73. Prime factorization of 79497 in exponential form is:

79497 = 3² × 11² × 73¹

Step-3: Factors of 79491

List of positive integer factors of 79491 that divides 79491 without a remainder.

1, 3, 26497

Step-4: Factors of 79497

List of positive integer factors of 79497 that divides 79491 without a remainder.

1, 3, 9, 11, 33, 73, 99, 121, 219, 363, 657, 803, 1089, 2409, 7227, 8833, 26499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79491 and 79497. The biggest common factor number is the GCF number.
So the greatest common factor 79491 and 79497 is 3.

Also check out the Least Common Multiple of 79491 and 79497