What is the Greatest Common Factor of 79713 and 79731?

Greatest common factor (GCF) of 79713 and 79731 is 9.

GCF(79713,79731) = 9

We will now calculate the prime factors of 79713 and 79731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79713 and 79731.

How to find the GCF of 79713 and 79731?

We will first find the prime factorization of 79713 and 79731. After we will calculate the factors of 79713 and 79731 and find the biggest common factor number .

Step-1: Prime Factorization of 79713

Prime factors of 79713 are 3, 17, 521. Prime factorization of 79713 in exponential form is:

79713 = 3² × 17¹ × 521¹

Step-2: Prime Factorization of 79731

Prime factors of 79731 are 3, 2953. Prime factorization of 79731 in exponential form is:

79731 = 3³ × 2953¹

Step-3: Factors of 79713

List of positive integer factors of 79713 that divides 79713 without a remainder.

1, 3, 9, 17, 51, 153, 521, 1563, 4689, 8857, 26571

Step-4: Factors of 79731

List of positive integer factors of 79731 that divides 79713 without a remainder.

1, 3, 9, 27, 2953, 8859, 26577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79713 and 79731. The biggest common factor number is the GCF number.
So the greatest common factor 79713 and 79731 is 9.

Also check out the Least Common Multiple of 79713 and 79731