What is the Greatest Common Factor of 79636 and 79640?

Greatest common factor (GCF) of 79636 and 79640 is 4.

GCF(79636,79640) = 4

We will now calculate the prime factors of 79636 and 79640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79636 and 79640.

How to find the GCF of 79636 and 79640?

We will first find the prime factorization of 79636 and 79640. After we will calculate the factors of 79636 and 79640 and find the biggest common factor number .

Step-1: Prime Factorization of 79636

Prime factors of 79636 are 2, 43, 463. Prime factorization of 79636 in exponential form is:

79636 = 2² × 43¹ × 463¹

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 79636

List of positive integer factors of 79636 that divides 79636 without a remainder.

1, 2, 4, 43, 86, 172, 463, 926, 1852, 19909, 39818

Step-4: Factors of 79640

List of positive integer factors of 79640 that divides 79636 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 79636 and 79640. The biggest common factor number is the GCF number.
So the greatest common factor 79636 and 79640 is 4.

Also check out the Least Common Multiple of 79636 and 79640