What is the Greatest Common Factor of 83978 and 83986?

Greatest common factor (GCF) of 83978 and 83986 is 2.

GCF(83978,83986) = 2

We will now calculate the prime factors of 83978 and 83986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83978 and 83986.

How to find the GCF of 83978 and 83986?

We will first find the prime factorization of 83978 and 83986. After we will calculate the factors of 83978 and 83986 and find the biggest common factor number .

Step-1: Prime Factorization of 83978

Prime factors of 83978 are 2, 199, 211. Prime factorization of 83978 in exponential form is:

83978 = 2¹ × 199¹ × 211¹

Step-2: Prime Factorization of 83986

Prime factors of 83986 are 2, 7, 857. Prime factorization of 83986 in exponential form is:

83986 = 2¹ × 7² × 857¹

Step-3: Factors of 83978

List of positive integer factors of 83978 that divides 83978 without a remainder.

1, 2, 199, 211, 398, 422, 41989

Step-4: Factors of 83986

List of positive integer factors of 83986 that divides 83978 without a remainder.

1, 2, 7, 14, 49, 98, 857, 1714, 5999, 11998, 41993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83978 and 83986. The biggest common factor number is the GCF number.
So the greatest common factor 83978 and 83986 is 2.

Also check out the Least Common Multiple of 83978 and 83986