What is the Greatest Common Factor of 82788 and 82808?

Greatest common factor (GCF) of 82788 and 82808 is 4.

GCF(82788,82808) = 4

We will now calculate the prime factors of 82788 and 82808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82788 and 82808.

How to find the GCF of 82788 and 82808?

We will first find the prime factorization of 82788 and 82808. After we will calculate the factors of 82788 and 82808 and find the biggest common factor number .

Step-1: Prime Factorization of 82788

Prime factors of 82788 are 2, 3, 6899. Prime factorization of 82788 in exponential form is:

82788 = 2² × 3¹ × 6899¹

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 82788

List of positive integer factors of 82788 that divides 82788 without a remainder.

1, 2, 3, 4, 6, 12, 6899, 13798, 20697, 27596, 41394

Step-4: Factors of 82808

List of positive integer factors of 82808 that divides 82788 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 82788 and 82808. The biggest common factor number is the GCF number.
So the greatest common factor 82788 and 82808 is 4.

Also check out the Least Common Multiple of 82788 and 82808