What is the Greatest Common Factor of 44460 and 44475?

Greatest common factor (GCF) of 44460 and 44475 is 15.

GCF(44460,44475) = 15

We will now calculate the prime factors of 44460 and 44475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44460 and 44475.

How to find the GCF of 44460 and 44475?

We will first find the prime factorization of 44460 and 44475. After we will calculate the factors of 44460 and 44475 and find the biggest common factor number .

Step-1: Prime Factorization of 44460

Prime factors of 44460 are 2, 3, 5, 13, 19. Prime factorization of 44460 in exponential form is:

44460 = 2² × 3² × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 44475

Prime factors of 44475 are 3, 5, 593. Prime factorization of 44475 in exponential form is:

44475 = 3¹ × 5² × 593¹

Step-3: Factors of 44460

List of positive integer factors of 44460 that divides 44460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 19, 20, 26, 30, 36, 38, 39, 45, 52, 57, 60, 65, 76, 78, 90, 95, 114, 117, 130, 156, 171, 180, 190, 195, 228, 234, 247, 260, 285, 342, 380, 390, 468, 494, 570, 585, 684, 741, 780, 855, 988, 1140, 1170, 1235, 1482, 1710, 2223, 2340, 2470, 2964, 3420, 3705, 4446, 4940, 7410, 8892, 11115, 14820, 22230

Step-4: Factors of 44475

List of positive integer factors of 44475 that divides 44460 without a remainder.

1, 3, 5, 15, 25, 75, 593, 1779, 2965, 8895, 14825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44460 and 44475. The biggest common factor number is the GCF number.
So the greatest common factor 44460 and 44475 is 15.

Also check out the Least Common Multiple of 44460 and 44475