What is the Greatest Common Factor of 40464 and 40472?

Greatest common factor (GCF) of 40464 and 40472 is 8.

GCF(40464,40472) = 8

We will now calculate the prime factors of 40464 and 40472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40464 and 40472.

How to find the GCF of 40464 and 40472?

We will first find the prime factorization of 40464 and 40472. After we will calculate the factors of 40464 and 40472 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 40472

Prime factors of 40472 are 2, 5059. Prime factorization of 40472 in exponential form is:

40472 = 2³ × 5059¹

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 40472

List of positive integer factors of 40472 that divides 40464 without a remainder.

1, 2, 4, 8, 5059, 10118, 20236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40464 and 40472. The biggest common factor number is the GCF number.
So the greatest common factor 40464 and 40472 is 8.

Also check out the Least Common Multiple of 40464 and 40472