What is the Greatest Common Factor of 83960 and 83972?

Greatest common factor (GCF) of 83960 and 83972 is 4.

GCF(83960,83972) = 4

We will now calculate the prime factors of 83960 and 83972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83960 and 83972.

How to find the GCF of 83960 and 83972?

We will first find the prime factorization of 83960 and 83972. After we will calculate the factors of 83960 and 83972 and find the biggest common factor number .

Step-1: Prime Factorization of 83960

Prime factors of 83960 are 2, 5, 2099. Prime factorization of 83960 in exponential form is:

83960 = 2³ × 5¹ × 2099¹

Step-2: 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-3: Factors of 83960

List of positive integer factors of 83960 that divides 83960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2099, 4198, 8396, 10495, 16792, 20990, 41980

Step-4: Factors of 83972

List of positive integer factors of 83972 that divides 83960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83960 and 83972. The biggest common factor number is the GCF number.
So the greatest common factor 83960 and 83972 is 4.

Also check out the Least Common Multiple of 83960 and 83972