What is the Greatest Common Factor of 44320 and 44324?

Greatest common factor (GCF) of 44320 and 44324 is 4.

GCF(44320,44324) = 4

We will now calculate the prime factors of 44320 and 44324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44320 and 44324.

How to find the GCF of 44320 and 44324?

We will first find the prime factorization of 44320 and 44324. After we will calculate the factors of 44320 and 44324 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 44324

Prime factors of 44324 are 2, 7, 1583. Prime factorization of 44324 in exponential form is:

44324 = 2² × 7¹ × 1583¹

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 44324

List of positive integer factors of 44324 that divides 44320 without a remainder.

1, 2, 4, 7, 14, 28, 1583, 3166, 6332, 11081, 22162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44320 and 44324. The biggest common factor number is the GCF number.
So the greatest common factor 44320 and 44324 is 4.

Also check out the Least Common Multiple of 44320 and 44324