What is the Greatest Common Factor of 40419 and 40425?

Greatest common factor (GCF) of 40419 and 40425 is 3.

GCF(40419,40425) = 3

We will now calculate the prime factors of 40419 and 40425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40419 and 40425.

How to find the GCF of 40419 and 40425?

We will first find the prime factorization of 40419 and 40425. After we will calculate the factors of 40419 and 40425 and find the biggest common factor number .

Step-1: Prime Factorization of 40419

Prime factors of 40419 are 3, 499. Prime factorization of 40419 in exponential form is:

40419 = 3⁴ × 499¹

Step-2: 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-3: Factors of 40419

List of positive integer factors of 40419 that divides 40419 without a remainder.

1, 3, 9, 27, 81, 499, 1497, 4491, 13473

Step-4: Factors of 40425

List of positive integer factors of 40425 that divides 40419 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40419 and 40425. The biggest common factor number is the GCF number.
So the greatest common factor 40419 and 40425 is 3.

Also check out the Least Common Multiple of 40419 and 40425