What is the Greatest Common Factor of 40464 and 40475?

Greatest common factor (GCF) of 40464 and 40475 is 1.

GCF(40464,40475) = 1

We will now calculate the prime factors of 40464 and 40475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40464 and 40475.

How to find the GCF of 40464 and 40475?

We will first find the prime factorization of 40464 and 40475. After we will calculate the factors of 40464 and 40475 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 40475

Prime factors of 40475 are 5, 1619. Prime factorization of 40475 in exponential form is:

40475 = 5² × 1619¹

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 40475

List of positive integer factors of 40475 that divides 40464 without a remainder.

1, 5, 25, 1619, 8095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40464 and 40475. The biggest common factor number is the GCF number.
So the greatest common factor 40464 and 40475 is 1.

Also check out the Least Common Multiple of 40464 and 40475