What is the Greatest Common Factor of 83997 and 84016?

Greatest common factor (GCF) of 83997 and 84016 is 1.

GCF(83997,84016) = 1

We will now calculate the prime factors of 83997 and 84016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83997 and 84016.

How to find the GCF of 83997 and 84016?

We will first find the prime factorization of 83997 and 84016. After we will calculate the factors of 83997 and 84016 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 84016

Prime factors of 84016 are 2, 59, 89. Prime factorization of 84016 in exponential form is:

84016 = 2⁴ × 59¹ × 89¹

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 84016

List of positive integer factors of 84016 that divides 83997 without a remainder.

1, 2, 4, 8, 16, 59, 89, 118, 178, 236, 356, 472, 712, 944, 1424, 5251, 10502, 21004, 42008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83997 and 84016. The biggest common factor number is the GCF number.
So the greatest common factor 83997 and 84016 is 1.

Also check out the Least Common Multiple of 83997 and 84016