What is the Greatest Common Factor of 86828 and 86846?

Greatest common factor (GCF) of 86828 and 86846 is 2.

GCF(86828,86846) = 2

We will now calculate the prime factors of 86828 and 86846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86828 and 86846.

How to find the GCF of 86828 and 86846?

We will first find the prime factorization of 86828 and 86846. After we will calculate the factors of 86828 and 86846 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 86846

Prime factors of 86846 are 2, 173, 251. Prime factorization of 86846 in exponential form is:

86846 = 2¹ × 173¹ × 251¹

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 86846

List of positive integer factors of 86846 that divides 86828 without a remainder.

1, 2, 173, 251, 346, 502, 43423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86828 and 86846. The biggest common factor number is the GCF number.
So the greatest common factor 86828 and 86846 is 2.

Also check out the Least Common Multiple of 86828 and 86846