What is the Greatest Common Factor of 44340 and 44355?

Greatest common factor (GCF) of 44340 and 44355 is 15.

GCF(44340,44355) = 15

We will now calculate the prime factors of 44340 and 44355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44340 and 44355.

How to find the GCF of 44340 and 44355?

We will first find the prime factorization of 44340 and 44355. After we will calculate the factors of 44340 and 44355 and find the biggest common factor number .

Step-1: Prime Factorization of 44340

Prime factors of 44340 are 2, 3, 5, 739. Prime factorization of 44340 in exponential form is:

44340 = 2² × 3¹ × 5¹ × 739¹

Step-2: Prime Factorization of 44355

Prime factors of 44355 are 3, 5, 2957. Prime factorization of 44355 in exponential form is:

44355 = 3¹ × 5¹ × 2957¹

Step-3: Factors of 44340

List of positive integer factors of 44340 that divides 44340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 739, 1478, 2217, 2956, 3695, 4434, 7390, 8868, 11085, 14780, 22170

Step-4: Factors of 44355

List of positive integer factors of 44355 that divides 44340 without a remainder.

1, 3, 5, 15, 2957, 8871, 14785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44340 and 44355. The biggest common factor number is the GCF number.
So the greatest common factor 44340 and 44355 is 15.

Also check out the Least Common Multiple of 44340 and 44355