What is the Greatest Common Factor of 44445 and 44460?

Greatest common factor (GCF) of 44445 and 44460 is 15.

GCF(44445,44460) = 15

We will now calculate the prime factors of 44445 and 44460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44445 and 44460.

How to find the GCF of 44445 and 44460?

We will first find the prime factorization of 44445 and 44460. After we will calculate the factors of 44445 and 44460 and find the biggest common factor number .

Step-1: Prime Factorization of 44445

Prime factors of 44445 are 3, 5, 2963. Prime factorization of 44445 in exponential form is:

44445 = 3¹ × 5¹ × 2963¹

Step-2: 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-3: Factors of 44445

List of positive integer factors of 44445 that divides 44445 without a remainder.

1, 3, 5, 15, 2963, 8889, 14815

Step-4: Factors of 44460

List of positive integer factors of 44460 that divides 44445 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44445 and 44460. The biggest common factor number is the GCF number.
So the greatest common factor 44445 and 44460 is 15.

Also check out the Least Common Multiple of 44445 and 44460