What is the Greatest Common Factor of 84974 and 84986?

Greatest common factor (GCF) of 84974 and 84986 is 2.

GCF(84974,84986) = 2

We will now calculate the prime factors of 84974 and 84986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84974 and 84986.

How to find the GCF of 84974 and 84986?

We will first find the prime factorization of 84974 and 84986. After we will calculate the factors of 84974 and 84986 and find the biggest common factor number .

Step-1: Prime Factorization of 84974

Prime factors of 84974 are 2, 42487. Prime factorization of 84974 in exponential form is:

84974 = 2¹ × 42487¹

Step-2: 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-3: Factors of 84974

List of positive integer factors of 84974 that divides 84974 without a remainder.

1, 2, 42487

Step-4: Factors of 84986

List of positive integer factors of 84986 that divides 84974 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84974 and 84986. The biggest common factor number is the GCF number.
So the greatest common factor 84974 and 84986 is 2.

Also check out the Least Common Multiple of 84974 and 84986