What is the Greatest Common Factor of 40425 and 40439?

Greatest common factor (GCF) of 40425 and 40439 is 7.

GCF(40425,40439) = 7

We will now calculate the prime factors of 40425 and 40439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40425 and 40439.

How to find the GCF of 40425 and 40439?

We will first find the prime factorization of 40425 and 40439. After we will calculate the factors of 40425 and 40439 and find the biggest common factor number .

Step-1: Prime Factorization of 40425

Prime factors of 40425 are 3, 5, 7, 11. Prime factorization of 40425 in exponential form is:

40425 = 3¹ × 5² × 7² × 11¹

Step-2: Prime Factorization of 40439

Prime factors of 40439 are 7, 53, 109. Prime factorization of 40439 in exponential form is:

40439 = 7¹ × 53¹ × 109¹

Step-3: Factors of 40425

List of positive integer factors of 40425 that divides 40425 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 49, 55, 75, 77, 105, 147, 165, 175, 231, 245, 275, 385, 525, 539, 735, 825, 1155, 1225, 1617, 1925, 2695, 3675, 5775, 8085, 13475

Step-4: Factors of 40439

List of positive integer factors of 40439 that divides 40425 without a remainder.

1, 7, 53, 109, 371, 763, 5777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40425 and 40439. The biggest common factor number is the GCF number.
So the greatest common factor 40425 and 40439 is 7.

Also check out the Least Common Multiple of 40425 and 40439