What is the Greatest Common Factor of 84964 and 84982?

Greatest common factor (GCF) of 84964 and 84982 is 2.

GCF(84964,84982) = 2

We will now calculate the prime factors of 84964 and 84982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84964 and 84982.

How to find the GCF of 84964 and 84982?

We will first find the prime factorization of 84964 and 84982. After we will calculate the factors of 84964 and 84982 and find the biggest common factor number .

Step-1: Prime Factorization of 84964

Prime factors of 84964 are 2, 11, 1931. Prime factorization of 84964 in exponential form is:

84964 = 2² × 11¹ × 1931¹

Step-2: Prime Factorization of 84982

Prime factors of 84982 are 2, 42491. Prime factorization of 84982 in exponential form is:

84982 = 2¹ × 42491¹

Step-3: Factors of 84964

List of positive integer factors of 84964 that divides 84964 without a remainder.

1, 2, 4, 11, 22, 44, 1931, 3862, 7724, 21241, 42482

Step-4: Factors of 84982

List of positive integer factors of 84982 that divides 84964 without a remainder.

1, 2, 42491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84964 and 84982. The biggest common factor number is the GCF number.
So the greatest common factor 84964 and 84982 is 2.

Also check out the Least Common Multiple of 84964 and 84982