What is the Greatest Common Factor of 84986 and 84997?

Greatest common factor (GCF) of 84986 and 84997 is 11.

GCF(84986,84997) = 11

We will now calculate the prime factors of 84986 and 84997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84986 and 84997.

How to find the GCF of 84986 and 84997?

We will first find the prime factorization of 84986 and 84997. After we will calculate the factors of 84986 and 84997 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 84997

Prime factors of 84997 are 11, 7727. Prime factorization of 84997 in exponential form is:

84997 = 11¹ × 7727¹

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 84997

List of positive integer factors of 84997 that divides 84986 without a remainder.

1, 11, 7727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84986 and 84997. The biggest common factor number is the GCF number.
So the greatest common factor 84986 and 84997 is 11.

Also check out the Least Common Multiple of 84986 and 84997