What is the Greatest Common Factor of 40448 and 40464?

Greatest common factor (GCF) of 40448 and 40464 is 16.

GCF(40448,40464) = 16

We will now calculate the prime factors of 40448 and 40464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40448 and 40464.

How to find the GCF of 40448 and 40464?

We will first find the prime factorization of 40448 and 40464. After we will calculate the factors of 40448 and 40464 and find the biggest common factor number .

Step-1: Prime Factorization of 40448

Prime factors of 40448 are 2, 79. Prime factorization of 40448 in exponential form is:

40448 = 2⁹ × 79¹

Step-2: 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-3: Factors of 40448

List of positive integer factors of 40448 that divides 40448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 512, 632, 1264, 2528, 5056, 10112, 20224

Step-4: Factors of 40464

List of positive integer factors of 40464 that divides 40448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40448 and 40464. The biggest common factor number is the GCF number.
So the greatest common factor 40448 and 40464 is 16.

Also check out the Least Common Multiple of 40448 and 40464