What is the Greatest Common Factor of 79640 and 79659?

Greatest common factor (GCF) of 79640 and 79659 is 1.

GCF(79640,79659) = 1

We will now calculate the prime factors of 79640 and 79659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79640 and 79659.

How to find the GCF of 79640 and 79659?

We will first find the prime factorization of 79640 and 79659. After we will calculate the factors of 79640 and 79659 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79659

Prime factors of 79659 are 3, 53, 167. Prime factorization of 79659 in exponential form is:

79659 = 3² × 53¹ × 167¹

Step-3: Factors of 79640

List of positive integer factors of 79640 that divides 79640 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

Step-4: Factors of 79659

List of positive integer factors of 79659 that divides 79640 without a remainder.

1, 3, 9, 53, 159, 167, 477, 501, 1503, 8851, 26553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79640 and 79659. The biggest common factor number is the GCF number.
So the greatest common factor 79640 and 79659 is 1.

Also check out the Least Common Multiple of 79640 and 79659