What is the Greatest Common Factor of 86828 and 86842?

Greatest common factor (GCF) of 86828 and 86842 is 14.

GCF(86828,86842) = 14

We will now calculate the prime factors of 86828 and 86842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86828 and 86842.

How to find the GCF of 86828 and 86842?

We will first find the prime factorization of 86828 and 86842. After we will calculate the factors of 86828 and 86842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86842

Prime factors of 86842 are 2, 7, 6203. Prime factorization of 86842 in exponential form is:

86842 = 2¹ × 7¹ × 6203¹

Step-3: Factors of 86828

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

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

Step-4: Factors of 86842

List of positive integer factors of 86842 that divides 86828 without a remainder.

1, 2, 7, 14, 6203, 12406, 43421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86828 and 86842. The biggest common factor number is the GCF number.
So the greatest common factor 86828 and 86842 is 14.

Also check out the Least Common Multiple of 86828 and 86842