What is the Greatest Common Factor of 79640 and 79646?

Greatest common factor (GCF) of 79640 and 79646 is 2.

GCF(79640,79646) = 2

We will now calculate the prime factors of 79640 and 79646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79640 and 79646.

How to find the GCF of 79640 and 79646?

We will first find the prime factorization of 79640 and 79646. After we will calculate the factors of 79640 and 79646 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 79646

Prime factors of 79646 are 2, 7, 5689. Prime factorization of 79646 in exponential form is:

79646 = 2¹ × 7¹ × 5689¹

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 79646

List of positive integer factors of 79646 that divides 79640 without a remainder.

1, 2, 7, 14, 5689, 11378, 39823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79640 and 79646. The biggest common factor number is the GCF number.
So the greatest common factor 79640 and 79646 is 2.

Also check out the Least Common Multiple of 79640 and 79646