What is the Greatest Common Factor of 79647 and 79665?

Greatest common factor (GCF) of 79647 and 79665 is 3.

GCF(79647,79665) = 3

We will now calculate the prime factors of 79647 and 79665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79647 and 79665.

How to find the GCF of 79647 and 79665?

We will first find the prime factorization of 79647 and 79665. After we will calculate the factors of 79647 and 79665 and find the biggest common factor number .

Step-1: Prime Factorization of 79647

Prime factors of 79647 are 3, 139, 191. Prime factorization of 79647 in exponential form is:

79647 = 3¹ × 139¹ × 191¹

Step-2: Prime Factorization of 79665

Prime factors of 79665 are 3, 5, 47, 113. Prime factorization of 79665 in exponential form is:

79665 = 3¹ × 5¹ × 47¹ × 113¹

Step-3: Factors of 79647

List of positive integer factors of 79647 that divides 79647 without a remainder.

1, 3, 139, 191, 417, 573, 26549

Step-4: Factors of 79665

List of positive integer factors of 79665 that divides 79647 without a remainder.

1, 3, 5, 15, 47, 113, 141, 235, 339, 565, 705, 1695, 5311, 15933, 26555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79647 and 79665. The biggest common factor number is the GCF number.
So the greatest common factor 79647 and 79665 is 3.

Also check out the Least Common Multiple of 79647 and 79665