What is the Greatest Common Factor of 40425 and 40430?

Greatest common factor (GCF) of 40425 and 40430 is 5.

GCF(40425,40430) = 5

We will now calculate the prime factors of 40425 and 40430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40425 and 40430.

How to find the GCF of 40425 and 40430?

We will first find the prime factorization of 40425 and 40430. After we will calculate the factors of 40425 and 40430 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 40430

Prime factors of 40430 are 2, 5, 13, 311. Prime factorization of 40430 in exponential form is:

40430 = 2¹ × 5¹ × 13¹ × 311¹

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 40430

List of positive integer factors of 40430 that divides 40425 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 311, 622, 1555, 3110, 4043, 8086, 20215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40425 and 40430. The biggest common factor number is the GCF number.
So the greatest common factor 40425 and 40430 is 5.

Also check out the Least Common Multiple of 40425 and 40430