What is the Greatest Common Factor of 45400 and 45412?

Greatest common factor (GCF) of 45400 and 45412 is 4.

GCF(45400,45412) = 4

We will now calculate the prime factors of 45400 and 45412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45400 and 45412.

How to find the GCF of 45400 and 45412?

We will first find the prime factorization of 45400 and 45412. After we will calculate the factors of 45400 and 45412 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 45412

Prime factors of 45412 are 2, 11353. Prime factorization of 45412 in exponential form is:

45412 = 2² × 11353¹

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 45412

List of positive integer factors of 45412 that divides 45400 without a remainder.

1, 2, 4, 11353, 22706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45400 and 45412. The biggest common factor number is the GCF number.
So the greatest common factor 45400 and 45412 is 4.

Also check out the Least Common Multiple of 45400 and 45412