What is the Greatest Common Factor of 83991 and 83997?

Greatest common factor (GCF) of 83991 and 83997 is 3.

GCF(83991,83997) = 3

We will now calculate the prime factors of 83991 and 83997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83991 and 83997.

How to find the GCF of 83991 and 83997?

We will first find the prime factorization of 83991 and 83997. After we will calculate the factors of 83991 and 83997 and find the biggest common factor number .

Step-1: Prime Factorization of 83991

Prime factors of 83991 are 3, 27997. Prime factorization of 83991 in exponential form is:

83991 = 3¹ × 27997¹

Step-2: Prime Factorization of 83997

Prime factors of 83997 are 3, 17, 61. Prime factorization of 83997 in exponential form is:

83997 = 3⁴ × 17¹ × 61¹

Step-3: Factors of 83991

List of positive integer factors of 83991 that divides 83991 without a remainder.

1, 3, 27997

Step-4: Factors of 83997

List of positive integer factors of 83997 that divides 83991 without a remainder.

1, 3, 9, 17, 27, 51, 61, 81, 153, 183, 459, 549, 1037, 1377, 1647, 3111, 4941, 9333, 27999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83991 and 83997. The biggest common factor number is the GCF number.
So the greatest common factor 83991 and 83997 is 3.

Also check out the Least Common Multiple of 83991 and 83997