What is the Greatest Common Factor of 40461 and 40479?

Greatest common factor (GCF) of 40461 and 40479 is 3.

GCF(40461,40479) = 3

We will now calculate the prime factors of 40461 and 40479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40461 and 40479.

How to find the GCF of 40461 and 40479?

We will first find the prime factorization of 40461 and 40479. After we will calculate the factors of 40461 and 40479 and find the biggest common factor number .

Step-1: Prime Factorization of 40461

Prime factors of 40461 are 3, 13487. Prime factorization of 40461 in exponential form is:

40461 = 3¹ × 13487¹

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 40461

List of positive integer factors of 40461 that divides 40461 without a remainder.

1, 3, 13487

Step-4: Factors of 40479

List of positive integer factors of 40479 that divides 40461 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40461 and 40479. The biggest common factor number is the GCF number.
So the greatest common factor 40461 and 40479 is 3.

Also check out the Least Common Multiple of 40461 and 40479