What is the Greatest Common Factor of 83968 and 83983?

Greatest common factor (GCF) of 83968 and 83983 is 1.

GCF(83968,83983) = 1

We will now calculate the prime factors of 83968 and 83983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83968 and 83983.

How to find the GCF of 83968 and 83983?

We will first find the prime factorization of 83968 and 83983. After we will calculate the factors of 83968 and 83983 and find the biggest common factor number .

Step-1: Prime Factorization of 83968

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

83968 = 2¹¹ × 41¹

Step-2: Prime Factorization of 83983

Prime factors of 83983 are 83983. Prime factorization of 83983 in exponential form is:

83983 = 83983¹

Step-3: Factors of 83968

List of positive integer factors of 83968 that divides 83968 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

Step-4: Factors of 83983

List of positive integer factors of 83983 that divides 83968 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83968 and 83983. The biggest common factor number is the GCF number.
So the greatest common factor 83968 and 83983 is 1.

Also check out the Least Common Multiple of 83968 and 83983