What is the Greatest Common Factor of 84964 and 84974?

Greatest common factor (GCF) of 84964 and 84974 is 2.

GCF(84964,84974) = 2

We will now calculate the prime factors of 84964 and 84974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84964 and 84974.

How to find the GCF of 84964 and 84974?

We will first find the prime factorization of 84964 and 84974. After we will calculate the factors of 84964 and 84974 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 84974

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

84974 = 2¹ × 42487¹

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 84974

List of positive integer factors of 84974 that divides 84964 without a remainder.

1, 2, 42487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84964 and 84974. The biggest common factor number is the GCF number.
So the greatest common factor 84964 and 84974 is 2.

Also check out the Least Common Multiple of 84964 and 84974