What is the Greatest Common Factor of 82796 and 82808?

Greatest common factor (GCF) of 82796 and 82808 is 4.

GCF(82796,82808) = 4

We will now calculate the prime factors of 82796 and 82808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82796 and 82808.

How to find the GCF of 82796 and 82808?

We will first find the prime factorization of 82796 and 82808. After we will calculate the factors of 82796 and 82808 and find the biggest common factor number .

Step-1: Prime Factorization of 82796

Prime factors of 82796 are 2, 7, 2957. Prime factorization of 82796 in exponential form is:

82796 = 2² × 7¹ × 2957¹

Step-2: Prime Factorization of 82808

Prime factors of 82808 are 2, 11, 941. Prime factorization of 82808 in exponential form is:

82808 = 2³ × 11¹ × 941¹

Step-3: Factors of 82796

List of positive integer factors of 82796 that divides 82796 without a remainder.

1, 2, 4, 7, 14, 28, 2957, 5914, 11828, 20699, 41398

Step-4: Factors of 82808

List of positive integer factors of 82808 that divides 82796 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 941, 1882, 3764, 7528, 10351, 20702, 41404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82796 and 82808. The biggest common factor number is the GCF number.
So the greatest common factor 82796 and 82808 is 4.

Also check out the Least Common Multiple of 82796 and 82808