What is the Greatest Common Factor of 40464 and 40480?

Greatest common factor (GCF) of 40464 and 40480 is 16.

GCF(40464,40480) = 16

We will now calculate the prime factors of 40464 and 40480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40464 and 40480.

How to find the GCF of 40464 and 40480?

We will first find the prime factorization of 40464 and 40480. After we will calculate the factors of 40464 and 40480 and find the biggest common factor number .

Step-1: Prime Factorization of 40464

Prime factors of 40464 are 2, 3, 281. Prime factorization of 40464 in exponential form is:

40464 = 2⁴ × 3² × 281¹

Step-2: Prime Factorization of 40480

Prime factors of 40480 are 2, 5, 11, 23. Prime factorization of 40480 in exponential form is:

40480 = 2⁵ × 5¹ × 11¹ × 23¹

Step-3: Factors of 40464

List of positive integer factors of 40464 that divides 40464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 281, 562, 843, 1124, 1686, 2248, 2529, 3372, 4496, 5058, 6744, 10116, 13488, 20232

Step-4: Factors of 40480

List of positive integer factors of 40480 that divides 40464 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 352, 368, 440, 460, 506, 736, 880, 920, 1012, 1265, 1760, 1840, 2024, 2530, 3680, 4048, 5060, 8096, 10120, 20240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40464 and 40480. The biggest common factor number is the GCF number.
So the greatest common factor 40464 and 40480 is 16.

Also check out the Least Common Multiple of 40464 and 40480