What is the Greatest Common Factor of 79629 and 79640?

Greatest common factor (GCF) of 79629 and 79640 is 11.

GCF(79629,79640) = 11

We will now calculate the prime factors of 79629 and 79640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79629 and 79640.

How to find the GCF of 79629 and 79640?

We will first find the prime factorization of 79629 and 79640. After we will calculate the factors of 79629 and 79640 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79640

Prime factors of 79640 are 2, 5, 11, 181. Prime factorization of 79640 in exponential form is:

79640 = 2³ × 5¹ × 11¹ × 181¹

Step-3: Factors of 79629

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

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

Step-4: Factors of 79640

List of positive integer factors of 79640 that divides 79629 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 181, 220, 362, 440, 724, 905, 1448, 1810, 1991, 3620, 3982, 7240, 7964, 9955, 15928, 19910, 39820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79629 and 79640. The biggest common factor number is the GCF number.
So the greatest common factor 79629 and 79640 is 11.

Also check out the Least Common Multiple of 79629 and 79640