What is the Greatest Common Factor of 45400 and 45410?

Greatest common factor (GCF) of 45400 and 45410 is 10.

GCF(45400,45410) = 10

We will now calculate the prime factors of 45400 and 45410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45400 and 45410.

How to find the GCF of 45400 and 45410?

We will first find the prime factorization of 45400 and 45410. After we will calculate the factors of 45400 and 45410 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 45410

Prime factors of 45410 are 2, 5, 19, 239. Prime factorization of 45410 in exponential form is:

45410 = 2¹ × 5¹ × 19¹ × 239¹

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 45410

List of positive integer factors of 45410 that divides 45400 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 239, 478, 1195, 2390, 4541, 9082, 22705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45400 and 45410. The biggest common factor number is the GCF number.
So the greatest common factor 45400 and 45410 is 10.

Also check out the Least Common Multiple of 45400 and 45410