What is the Greatest Common Factor of 79623 and 79629?

Greatest common factor (GCF) of 79623 and 79629 is 3.

GCF(79623,79629) = 3

We will now calculate the prime factors of 79623 and 79629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79623 and 79629.

How to find the GCF of 79623 and 79629?

We will first find the prime factorization of 79623 and 79629. After we will calculate the factors of 79623 and 79629 and find the biggest common factor number .

Step-1: Prime Factorization of 79623

Prime factors of 79623 are 3, 983. Prime factorization of 79623 in exponential form is:

79623 = 3⁴ × 983¹

Step-2: Prime Factorization of 79629

Prime factors of 79629 are 3, 11, 19, 127. Prime factorization of 79629 in exponential form is:

79629 = 3¹ × 11¹ × 19¹ × 127¹

Step-3: Factors of 79623

List of positive integer factors of 79623 that divides 79623 without a remainder.

1, 3, 9, 27, 81, 983, 2949, 8847, 26541

Step-4: Factors of 79629

List of positive integer factors of 79629 that divides 79623 without a remainder.

1, 3, 11, 19, 33, 57, 127, 209, 381, 627, 1397, 2413, 4191, 7239, 26543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79623 and 79629. The biggest common factor number is the GCF number.
So the greatest common factor 79623 and 79629 is 3.

Also check out the Least Common Multiple of 79623 and 79629