What is the Greatest Common Factor of 44320 and 44327?

Greatest common factor (GCF) of 44320 and 44327 is 1.

GCF(44320,44327) = 1

We will now calculate the prime factors of 44320 and 44327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44320 and 44327.

How to find the GCF of 44320 and 44327?

We will first find the prime factorization of 44320 and 44327. After we will calculate the factors of 44320 and 44327 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 44327

Prime factors of 44327 are 19, 2333. Prime factorization of 44327 in exponential form is:

44327 = 19¹ × 2333¹

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 44327

List of positive integer factors of 44327 that divides 44320 without a remainder.

1, 19, 2333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44320 and 44327. The biggest common factor number is the GCF number.
So the greatest common factor 44320 and 44327 is 1.

Also check out the Least Common Multiple of 44320 and 44327