What is the Greatest Common Factor of 44655 and 44660?

Greatest common factor (GCF) of 44655 and 44660 is 5.

GCF(44655,44660) = 5

We will now calculate the prime factors of 44655 and 44660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44655 and 44660.

How to find the GCF of 44655 and 44660?

We will first find the prime factorization of 44655 and 44660. After we will calculate the factors of 44655 and 44660 and find the biggest common factor number .

Step-1: Prime Factorization of 44655

Prime factors of 44655 are 3, 5, 13, 229. Prime factorization of 44655 in exponential form is:

44655 = 3¹ × 5¹ × 13¹ × 229¹

Step-2: Prime Factorization of 44660

Prime factors of 44660 are 2, 5, 7, 11, 29. Prime factorization of 44660 in exponential form is:

44660 = 2² × 5¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 44655

List of positive integer factors of 44655 that divides 44655 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 229, 687, 1145, 2977, 3435, 8931, 14885

Step-4: Factors of 44660

List of positive integer factors of 44660 that divides 44655 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 29, 35, 44, 55, 58, 70, 77, 110, 116, 140, 145, 154, 203, 220, 290, 308, 319, 385, 406, 580, 638, 770, 812, 1015, 1276, 1540, 1595, 2030, 2233, 3190, 4060, 4466, 6380, 8932, 11165, 22330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44655 and 44660. The biggest common factor number is the GCF number.
So the greatest common factor 44655 and 44660 is 5.

Also check out the Least Common Multiple of 44655 and 44660