What is the Greatest Common Factor of 79709 and 79723?

Greatest common factor (GCF) of 79709 and 79723 is 7.

GCF(79709,79723) = 7

We will now calculate the prime factors of 79709 and 79723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79709 and 79723.

How to find the GCF of 79709 and 79723?

We will first find the prime factorization of 79709 and 79723. After we will calculate the factors of 79709 and 79723 and find the biggest common factor number .

Step-1: Prime Factorization of 79709

Prime factors of 79709 are 7, 59, 193. Prime factorization of 79709 in exponential form is:

79709 = 7¹ × 59¹ × 193¹

Step-2: Prime Factorization of 79723

Prime factors of 79723 are 7, 1627. Prime factorization of 79723 in exponential form is:

79723 = 7² × 1627¹

Step-3: Factors of 79709

List of positive integer factors of 79709 that divides 79709 without a remainder.

1, 7, 59, 193, 413, 1351, 11387

Step-4: Factors of 79723

List of positive integer factors of 79723 that divides 79709 without a remainder.

1, 7, 49, 1627, 11389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79709 and 79723. The biggest common factor number is the GCF number.
So the greatest common factor 79709 and 79723 is 7.

Also check out the Least Common Multiple of 79709 and 79723