What is the Greatest Common Factor of 79677 and 79690?

Greatest common factor (GCF) of 79677 and 79690 is 13.

GCF(79677,79690) = 13

We will now calculate the prime factors of 79677 and 79690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79677 and 79690.

How to find the GCF of 79677 and 79690?

We will first find the prime factorization of 79677 and 79690. After we will calculate the factors of 79677 and 79690 and find the biggest common factor number .

Step-1: Prime Factorization of 79677

Prime factors of 79677 are 3, 13, 227. Prime factorization of 79677 in exponential form is:

79677 = 3³ × 13¹ × 227¹

Step-2: Prime Factorization of 79690

Prime factors of 79690 are 2, 5, 13, 613. Prime factorization of 79690 in exponential form is:

79690 = 2¹ × 5¹ × 13¹ × 613¹

Step-3: Factors of 79677

List of positive integer factors of 79677 that divides 79677 without a remainder.

1, 3, 9, 13, 27, 39, 117, 227, 351, 681, 2043, 2951, 6129, 8853, 26559

Step-4: Factors of 79690

List of positive integer factors of 79690 that divides 79677 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 613, 1226, 3065, 6130, 7969, 15938, 39845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79677 and 79690. The biggest common factor number is the GCF number.
So the greatest common factor 79677 and 79690 is 13.

Also check out the Least Common Multiple of 79677 and 79690