What is the Greatest Common Factor of 44317 and 44330?

Greatest common factor (GCF) of 44317 and 44330 is 13.

GCF(44317,44330) = 13

We will now calculate the prime factors of 44317 and 44330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44317 and 44330.

How to find the GCF of 44317 and 44330?

We will first find the prime factorization of 44317 and 44330. After we will calculate the factors of 44317 and 44330 and find the biggest common factor number .

Step-1: Prime Factorization of 44317

Prime factors of 44317 are 7, 13, 487. Prime factorization of 44317 in exponential form is:

44317 = 7¹ × 13¹ × 487¹

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 44317

List of positive integer factors of 44317 that divides 44317 without a remainder.

1, 7, 13, 91, 487, 3409, 6331

Step-4: Factors of 44330

List of positive integer factors of 44330 that divides 44317 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 44317 and 44330. The biggest common factor number is the GCF number.
So the greatest common factor 44317 and 44330 is 13.

Also check out the Least Common Multiple of 44317 and 44330