What is the Greatest Common Factor of 45400 and 45409?

Greatest common factor (GCF) of 45400 and 45409 is 1.

GCF(45400,45409) = 1

We will now calculate the prime factors of 45400 and 45409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45400 and 45409.

How to find the GCF of 45400 and 45409?

We will first find the prime factorization of 45400 and 45409. After we will calculate the factors of 45400 and 45409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45409

Prime factors of 45409 are 7, 13, 499. Prime factorization of 45409 in exponential form is:

45409 = 7¹ × 13¹ × 499¹

Step-3: Factors of 45400

List of positive integer factors of 45400 that divides 45400 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

Step-4: Factors of 45409

List of positive integer factors of 45409 that divides 45400 without a remainder.

1, 7, 13, 91, 499, 3493, 6487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45400 and 45409. The biggest common factor number is the GCF number.
So the greatest common factor 45400 and 45409 is 1.

Also check out the Least Common Multiple of 45400 and 45409