What is the Greatest Common Factor of 44320 and 44325?

Greatest common factor (GCF) of 44320 and 44325 is 5.

GCF(44320,44325) = 5

We will now calculate the prime factors of 44320 and 44325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44320 and 44325.

How to find the GCF of 44320 and 44325?

We will first find the prime factorization of 44320 and 44325. After we will calculate the factors of 44320 and 44325 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44325

Prime factors of 44325 are 3, 5, 197. Prime factorization of 44325 in exponential form is:

44325 = 3² × 5² × 197¹

Step-3: Factors of 44320

List of positive integer factors of 44320 that divides 44320 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

Step-4: Factors of 44325

List of positive integer factors of 44325 that divides 44320 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 197, 225, 591, 985, 1773, 2955, 4925, 8865, 14775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44320 and 44325. The biggest common factor number is the GCF number.
So the greatest common factor 44320 and 44325 is 5.

Also check out the Least Common Multiple of 44320 and 44325