What is the Greatest Common Factor of 83997 and 84003?

Greatest common factor (GCF) of 83997 and 84003 is 3.

GCF(83997,84003) = 3

We will now calculate the prime factors of 83997 and 84003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83997 and 84003.

How to find the GCF of 83997 and 84003?

We will first find the prime factorization of 83997 and 84003. After we will calculate the factors of 83997 and 84003 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84003

Prime factors of 84003 are 3, 28001. Prime factorization of 84003 in exponential form is:

84003 = 3¹ × 28001¹

Step-3: Factors of 83997

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

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

Step-4: Factors of 84003

List of positive integer factors of 84003 that divides 83997 without a remainder.

1, 3, 28001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83997 and 84003. The biggest common factor number is the GCF number.
So the greatest common factor 83997 and 84003 is 3.

Also check out the Least Common Multiple of 83997 and 84003