What is the Greatest Common Factor of 86821 and 86828?

Greatest common factor (GCF) of 86821 and 86828 is 7.

GCF(86821,86828) = 7

We will now calculate the prime factors of 86821 and 86828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86821 and 86828.

How to find the GCF of 86821 and 86828?

We will first find the prime factorization of 86821 and 86828. After we will calculate the factors of 86821 and 86828 and find the biggest common factor number .

Step-1: Prime Factorization of 86821

Prime factors of 86821 are 7, 79, 157. Prime factorization of 86821 in exponential form is:

86821 = 7¹ × 79¹ × 157¹

Step-2: Prime Factorization of 86828

Prime factors of 86828 are 2, 7, 443. Prime factorization of 86828 in exponential form is:

86828 = 2² × 7² × 443¹

Step-3: Factors of 86821

List of positive integer factors of 86821 that divides 86821 without a remainder.

1, 7, 79, 157, 553, 1099, 12403

Step-4: Factors of 86828

List of positive integer factors of 86828 that divides 86821 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 443, 886, 1772, 3101, 6202, 12404, 21707, 43414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86821 and 86828. The biggest common factor number is the GCF number.
So the greatest common factor 86821 and 86828 is 7.

Also check out the Least Common Multiple of 86821 and 86828