What is the Greatest Common Factor of 83972 and 83978?

Greatest common factor (GCF) of 83972 and 83978 is 2.

GCF(83972,83978) = 2

We will now calculate the prime factors of 83972 and 83978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83972 and 83978.

How to find the GCF of 83972 and 83978?

We will first find the prime factorization of 83972 and 83978. After we will calculate the factors of 83972 and 83978 and find the biggest common factor number .

Step-1: Prime Factorization of 83972

Prime factors of 83972 are 2, 7, 2999. Prime factorization of 83972 in exponential form is:

83972 = 2² × 7¹ × 2999¹

Step-2: 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-3: Factors of 83972

List of positive integer factors of 83972 that divides 83972 without a remainder.

1, 2, 4, 7, 14, 28, 2999, 5998, 11996, 20993, 41986

Step-4: Factors of 83978

List of positive integer factors of 83978 that divides 83972 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83972 and 83978. The biggest common factor number is the GCF number.
So the greatest common factor 83972 and 83978 is 2.

Also check out the Least Common Multiple of 83972 and 83978