What is the Greatest Common Factor of 84944 and 84964?

Greatest common factor (GCF) of 84944 and 84964 is 4.

GCF(84944,84964) = 4

We will now calculate the prime factors of 84944 and 84964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84944 and 84964.

How to find the GCF of 84944 and 84964?

We will first find the prime factorization of 84944 and 84964. After we will calculate the factors of 84944 and 84964 and find the biggest common factor number .

Step-1: Prime Factorization of 84944

Prime factors of 84944 are 2, 5309. Prime factorization of 84944 in exponential form is:

84944 = 2⁴ × 5309¹

Step-2: 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-3: Factors of 84944

List of positive integer factors of 84944 that divides 84944 without a remainder.

1, 2, 4, 8, 16, 5309, 10618, 21236, 42472

Step-4: Factors of 84964

List of positive integer factors of 84964 that divides 84944 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84944 and 84964. The biggest common factor number is the GCF number.
So the greatest common factor 84944 and 84964 is 4.

Also check out the Least Common Multiple of 84944 and 84964