What is the Greatest Common Factor of 43405 and 43425?

Greatest common factor (GCF) of 43405 and 43425 is 5.

GCF(43405,43425) = 5

We will now calculate the prime factors of 43405 and 43425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43405 and 43425.

How to find the GCF of 43405 and 43425?

We will first find the prime factorization of 43405 and 43425. After we will calculate the factors of 43405 and 43425 and find the biggest common factor number .

Step-1: Prime Factorization of 43405

Prime factors of 43405 are 5, 8681. Prime factorization of 43405 in exponential form is:

43405 = 5¹ × 8681¹

Step-2: Prime Factorization of 43425

Prime factors of 43425 are 3, 5, 193. Prime factorization of 43425 in exponential form is:

43425 = 3² × 5² × 193¹

Step-3: Factors of 43405

List of positive integer factors of 43405 that divides 43405 without a remainder.

1, 5, 8681

Step-4: Factors of 43425

List of positive integer factors of 43425 that divides 43405 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 193, 225, 579, 965, 1737, 2895, 4825, 8685, 14475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43405 and 43425. The biggest common factor number is the GCF number.
So the greatest common factor 43405 and 43425 is 5.

Also check out the Least Common Multiple of 43405 and 43425