What is the Greatest Common Factor of 83997 and 84007?

Greatest common factor (GCF) of 83997 and 84007 is 1.

GCF(83997,84007) = 1

We will now calculate the prime factors of 83997 and 84007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83997 and 84007.

How to find the GCF of 83997 and 84007?

We will first find the prime factorization of 83997 and 84007. After we will calculate the factors of 83997 and 84007 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 84007

Prime factors of 84007 are 7, 11, 1091. Prime factorization of 84007 in exponential form is:

84007 = 7¹ × 11¹ × 1091¹

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 84007

List of positive integer factors of 84007 that divides 83997 without a remainder.

1, 7, 11, 77, 1091, 7637, 12001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83997 and 84007. The biggest common factor number is the GCF number.
So the greatest common factor 83997 and 84007 is 1.

Also check out the Least Common Multiple of 83997 and 84007