What is the Greatest Common Factor of 44319 and 44330?

Greatest common factor (GCF) of 44319 and 44330 is 11.

GCF(44319,44330) = 11

We will now calculate the prime factors of 44319 and 44330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44319 and 44330.

How to find the GCF of 44319 and 44330?

We will first find the prime factorization of 44319 and 44330. After we will calculate the factors of 44319 and 44330 and find the biggest common factor number .

Step-1: Prime Factorization of 44319

Prime factors of 44319 are 3, 11, 17, 79. Prime factorization of 44319 in exponential form is:

44319 = 3¹ × 11¹ × 17¹ × 79¹

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 44319

List of positive integer factors of 44319 that divides 44319 without a remainder.

1, 3, 11, 17, 33, 51, 79, 187, 237, 561, 869, 1343, 2607, 4029, 14773

Step-4: Factors of 44330

List of positive integer factors of 44330 that divides 44319 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 44319 and 44330. The biggest common factor number is the GCF number.
So the greatest common factor 44319 and 44330 is 11.

Also check out the Least Common Multiple of 44319 and 44330