What is the Greatest Common Factor of 44314 and 44320?

Greatest common factor (GCF) of 44314 and 44320 is 2.

GCF(44314,44320) = 2

We will now calculate the prime factors of 44314 and 44320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44314 and 44320.

How to find the GCF of 44314 and 44320?

We will first find the prime factorization of 44314 and 44320. After we will calculate the factors of 44314 and 44320 and find the biggest common factor number .

Step-1: Prime Factorization of 44314

Prime factors of 44314 are 2, 22157. Prime factorization of 44314 in exponential form is:

44314 = 2¹ × 22157¹

Step-2: Prime Factorization of 44320

Prime factors of 44320 are 2, 5, 277. Prime factorization of 44320 in exponential form is:

44320 = 2⁵ × 5¹ × 277¹

Step-3: Factors of 44314

List of positive integer factors of 44314 that divides 44314 without a remainder.

1, 2, 22157

Step-4: Factors of 44320

List of positive integer factors of 44320 that divides 44314 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 277, 554, 1108, 1385, 2216, 2770, 4432, 5540, 8864, 11080, 22160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44314 and 44320. The biggest common factor number is the GCF number.
So the greatest common factor 44314 and 44320 is 2.

Also check out the Least Common Multiple of 44314 and 44320