What is the Greatest Common Factor of 84986 and 85006?

Greatest common factor (GCF) of 84986 and 85006 is 2.

GCF(84986,85006) = 2

We will now calculate the prime factors of 84986 and 85006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84986 and 85006.

How to find the GCF of 84986 and 85006?

We will first find the prime factorization of 84986 and 85006. After we will calculate the factors of 84986 and 85006 and find the biggest common factor number .

Step-1: Prime Factorization of 84986

Prime factors of 84986 are 2, 11, 3863. Prime factorization of 84986 in exponential form is:

84986 = 2¹ × 11¹ × 3863¹

Step-2: Prime Factorization of 85006

Prime factors of 85006 are 2, 19, 2237. Prime factorization of 85006 in exponential form is:

85006 = 2¹ × 19¹ × 2237¹

Step-3: Factors of 84986

List of positive integer factors of 84986 that divides 84986 without a remainder.

1, 2, 11, 22, 3863, 7726, 42493

Step-4: Factors of 85006

List of positive integer factors of 85006 that divides 84986 without a remainder.

1, 2, 19, 38, 2237, 4474, 42503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84986 and 85006. The biggest common factor number is the GCF number.
So the greatest common factor 84986 and 85006 is 2.

Also check out the Least Common Multiple of 84986 and 85006