What is the Greatest Common Factor of 79689 and 79709?

Greatest common factor (GCF) of 79689 and 79709 is 1.

GCF(79689,79709) = 1

We will now calculate the prime factors of 79689 and 79709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79689 and 79709.

How to find the GCF of 79689 and 79709?

We will first find the prime factorization of 79689 and 79709. After we will calculate the factors of 79689 and 79709 and find the biggest common factor number .

Step-1: Prime Factorization of 79689

Prime factors of 79689 are 3, 101, 263. Prime factorization of 79689 in exponential form is:

79689 = 3¹ × 101¹ × 263¹

Step-2: 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-3: Factors of 79689

List of positive integer factors of 79689 that divides 79689 without a remainder.

1, 3, 101, 263, 303, 789, 26563

Step-4: Factors of 79709

List of positive integer factors of 79709 that divides 79689 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79689 and 79709. The biggest common factor number is the GCF number.
So the greatest common factor 79689 and 79709 is 1.

Also check out the Least Common Multiple of 79689 and 79709