What is the Greatest Common Factor of 45385 and 45400?

Greatest common factor (GCF) of 45385 and 45400 is 5.

GCF(45385,45400) = 5

We will now calculate the prime factors of 45385 and 45400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45385 and 45400.

How to find the GCF of 45385 and 45400?

We will first find the prime factorization of 45385 and 45400. After we will calculate the factors of 45385 and 45400 and find the biggest common factor number .

Step-1: Prime Factorization of 45385

Prime factors of 45385 are 5, 29, 313. Prime factorization of 45385 in exponential form is:

45385 = 5¹ × 29¹ × 313¹

Step-2: Prime Factorization of 45400

Prime factors of 45400 are 2, 5, 227. Prime factorization of 45400 in exponential form is:

45400 = 2³ × 5² × 227¹

Step-3: Factors of 45385

List of positive integer factors of 45385 that divides 45385 without a remainder.

1, 5, 29, 145, 313, 1565, 9077

Step-4: Factors of 45400

List of positive integer factors of 45400 that divides 45385 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 227, 454, 908, 1135, 1816, 2270, 4540, 5675, 9080, 11350, 22700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45385 and 45400. The biggest common factor number is the GCF number.
So the greatest common factor 45385 and 45400 is 5.

Also check out the Least Common Multiple of 45385 and 45400