What is the Greatest Common Factor of 44320 and 44330?

Greatest common factor (GCF) of 44320 and 44330 is 10.

GCF(44320,44330) = 10

We will now calculate the prime factors of 44320 and 44330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44320 and 44330.

How to find the GCF of 44320 and 44330?

We will first find the prime factorization of 44320 and 44330. After we will calculate the factors of 44320 and 44330 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 44330

Prime factors of 44330 are 2, 5, 11, 13, 31. Prime factorization of 44330 in exponential form is:

44330 = 2¹ × 5¹ × 11¹ × 13¹ × 31¹

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 44330

List of positive integer factors of 44330 that divides 44320 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 31, 55, 62, 65, 110, 130, 143, 155, 286, 310, 341, 403, 682, 715, 806, 1430, 1705, 2015, 3410, 4030, 4433, 8866, 22165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44320 and 44330. The biggest common factor number is the GCF number.
So the greatest common factor 44320 and 44330 is 10.

Also check out the Least Common Multiple of 44320 and 44330