What is the Greatest Common Factor of 83994 and 84002?

Greatest common factor (GCF) of 83994 and 84002 is 2.

GCF(83994,84002) = 2

We will now calculate the prime factors of 83994 and 84002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83994 and 84002.

How to find the GCF of 83994 and 84002?

We will first find the prime factorization of 83994 and 84002. After we will calculate the factors of 83994 and 84002 and find the biggest common factor number .

Step-1: Prime Factorization of 83994

Prime factors of 83994 are 2, 3, 13999. Prime factorization of 83994 in exponential form is:

83994 = 2¹ × 3¹ × 13999¹

Step-2: Prime Factorization of 84002

Prime factors of 84002 are 2, 97, 433. Prime factorization of 84002 in exponential form is:

84002 = 2¹ × 97¹ × 433¹

Step-3: Factors of 83994

List of positive integer factors of 83994 that divides 83994 without a remainder.

1, 2, 3, 6, 13999, 27998, 41997

Step-4: Factors of 84002

List of positive integer factors of 84002 that divides 83994 without a remainder.

1, 2, 97, 194, 433, 866, 42001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83994 and 84002. The biggest common factor number is the GCF number.
So the greatest common factor 83994 and 84002 is 2.

Also check out the Least Common Multiple of 83994 and 84002