What is the Greatest Common Factor of 83991 and 84006?

Greatest common factor (GCF) of 83991 and 84006 is 3.

GCF(83991,84006) = 3

We will now calculate the prime factors of 83991 and 84006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83991 and 84006.

How to find the GCF of 83991 and 84006?

We will first find the prime factorization of 83991 and 84006. After we will calculate the factors of 83991 and 84006 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 84006

Prime factors of 84006 are 2, 3, 13, 359. Prime factorization of 84006 in exponential form is:

84006 = 2¹ × 3² × 13¹ × 359¹

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 84006

List of positive integer factors of 84006 that divides 83991 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 359, 718, 1077, 2154, 3231, 4667, 6462, 9334, 14001, 28002, 42003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83991 and 84006. The biggest common factor number is the GCF number.
So the greatest common factor 83991 and 84006 is 3.

Also check out the Least Common Multiple of 83991 and 84006