What is the Greatest Common Factor of 44330 and 44350?

Greatest common factor (GCF) of 44330 and 44350 is 10.

GCF(44330,44350) = 10

We will now calculate the prime factors of 44330 and 44350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44330 and 44350.

How to find the GCF of 44330 and 44350?

We will first find the prime factorization of 44330 and 44350. After we will calculate the factors of 44330 and 44350 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44350

Prime factors of 44350 are 2, 5, 887. Prime factorization of 44350 in exponential form is:

44350 = 2¹ × 5² × 887¹

Step-3: Factors of 44330

List of positive integer factors of 44330 that divides 44330 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

Step-4: Factors of 44350

List of positive integer factors of 44350 that divides 44330 without a remainder.

1, 2, 5, 10, 25, 50, 887, 1774, 4435, 8870, 22175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44330 and 44350. The biggest common factor number is the GCF number.
So the greatest common factor 44330 and 44350 is 10.

Also check out the Least Common Multiple of 44330 and 44350