What is the Greatest Common Factor of 84986 and 84992?

Greatest common factor (GCF) of 84986 and 84992 is 2.

GCF(84986,84992) = 2

We will now calculate the prime factors of 84986 and 84992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84986 and 84992.

How to find the GCF of 84986 and 84992?

We will first find the prime factorization of 84986 and 84992. After we will calculate the factors of 84986 and 84992 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 84992

Prime factors of 84992 are 2, 83. Prime factorization of 84992 in exponential form is:

84992 = 2¹⁰ × 83¹

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 84992

List of positive integer factors of 84992 that divides 84986 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 256, 332, 512, 664, 1024, 1328, 2656, 5312, 10624, 21248, 42496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84986 and 84992. The biggest common factor number is the GCF number.
So the greatest common factor 84986 and 84992 is 2.

Also check out the Least Common Multiple of 84986 and 84992