What is the Greatest Common Factor of 44448 and 44460?

Greatest common factor (GCF) of 44448 and 44460 is 12.

GCF(44448,44460) = 12

We will now calculate the prime factors of 44448 and 44460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44448 and 44460.

How to find the GCF of 44448 and 44460?

We will first find the prime factorization of 44448 and 44460. After we will calculate the factors of 44448 and 44460 and find the biggest common factor number .

Step-1: Prime Factorization of 44448

Prime factors of 44448 are 2, 3, 463. Prime factorization of 44448 in exponential form is:

44448 = 2⁵ × 3¹ × 463¹

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 44448

List of positive integer factors of 44448 that divides 44448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112, 14816, 22224

Step-4: Factors of 44460

List of positive integer factors of 44460 that divides 44448 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 44448 and 44460. The biggest common factor number is the GCF number.
So the greatest common factor 44448 and 44460 is 12.

Also check out the Least Common Multiple of 44448 and 44460