What is the Greatest Common Factor of 79709 and 79717?

Greatest common factor (GCF) of 79709 and 79717 is 1.

GCF(79709,79717) = 1

We will now calculate the prime factors of 79709 and 79717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79709 and 79717.

How to find the GCF of 79709 and 79717?

We will first find the prime factorization of 79709 and 79717. After we will calculate the factors of 79709 and 79717 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 79717

Prime factors of 79717 are 11, 7247. Prime factorization of 79717 in exponential form is:

79717 = 11¹ × 7247¹

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 79717

List of positive integer factors of 79717 that divides 79709 without a remainder.

1, 11, 7247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79709 and 79717. The biggest common factor number is the GCF number.
So the greatest common factor 79709 and 79717 is 1.

Also check out the Least Common Multiple of 79709 and 79717