What is the Greatest Common Factor of 44316 and 44330?

Greatest common factor (GCF) of 44316 and 44330 is 2.

GCF(44316,44330) = 2

We will now calculate the prime factors of 44316 and 44330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44316 and 44330.

How to find the GCF of 44316 and 44330?

We will first find the prime factorization of 44316 and 44330. After we will calculate the factors of 44316 and 44330 and find the biggest common factor number .

Step-1: Prime Factorization of 44316

Prime factors of 44316 are 2, 3, 1231. Prime factorization of 44316 in exponential form is:

44316 = 2² × 3² × 1231¹

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 44316

List of positive integer factors of 44316 that divides 44316 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1231, 2462, 3693, 4924, 7386, 11079, 14772, 22158

Step-4: Factors of 44330

List of positive integer factors of 44330 that divides 44316 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 44316 and 44330. The biggest common factor number is the GCF number.
So the greatest common factor 44316 and 44330 is 2.

Also check out the Least Common Multiple of 44316 and 44330