What is the Greatest Common Factor of 40425 and 40436?

Greatest common factor (GCF) of 40425 and 40436 is 11.

GCF(40425,40436) = 11

We will now calculate the prime factors of 40425 and 40436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40425 and 40436.

How to find the GCF of 40425 and 40436?

We will first find the prime factorization of 40425 and 40436. After we will calculate the factors of 40425 and 40436 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 40436

Prime factors of 40436 are 2, 11, 919. Prime factorization of 40436 in exponential form is:

40436 = 2² × 11¹ × 919¹

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 40436

List of positive integer factors of 40436 that divides 40425 without a remainder.

1, 2, 4, 11, 22, 44, 919, 1838, 3676, 10109, 20218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40425 and 40436. The biggest common factor number is the GCF number.
So the greatest common factor 40425 and 40436 is 11.

Also check out the Least Common Multiple of 40425 and 40436