What is the Greatest Common Factor of 40464 and 40479?

Greatest common factor (GCF) of 40464 and 40479 is 3.

GCF(40464,40479) = 3

We will now calculate the prime factors of 40464 and 40479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40464 and 40479.

How to find the GCF of 40464 and 40479?

We will first find the prime factorization of 40464 and 40479. After we will calculate the factors of 40464 and 40479 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 40479

Prime factors of 40479 are 3, 103, 131. Prime factorization of 40479 in exponential form is:

40479 = 3¹ × 103¹ × 131¹

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 40479

List of positive integer factors of 40479 that divides 40464 without a remainder.

1, 3, 103, 131, 309, 393, 13493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40464 and 40479. The biggest common factor number is the GCF number.
So the greatest common factor 40464 and 40479 is 3.

Also check out the Least Common Multiple of 40464 and 40479