What is the Greatest Common Factor of 83960 and 83968?

Greatest common factor (GCF) of 83960 and 83968 is 8.

GCF(83960,83968) = 8

We will now calculate the prime factors of 83960 and 83968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83960 and 83968.

How to find the GCF of 83960 and 83968?

We will first find the prime factorization of 83960 and 83968. After we will calculate the factors of 83960 and 83968 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 83968

Prime factors of 83968 are 2, 41. Prime factorization of 83968 in exponential form is:

83968 = 2¹¹ × 41¹

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 83968

List of positive integer factors of 83968 that divides 83960 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 512, 656, 1024, 1312, 2048, 2624, 5248, 10496, 20992, 41984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83960 and 83968. The biggest common factor number is the GCF number.
So the greatest common factor 83960 and 83968 is 8.

Also check out the Least Common Multiple of 83960 and 83968