What is the Greatest Common Factor of 45200 and 45213?

Greatest common factor (GCF) of 45200 and 45213 is 1.

GCF(45200,45213) = 1

We will now calculate the prime factors of 45200 and 45213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45200 and 45213.

How to find the GCF of 45200 and 45213?

We will first find the prime factorization of 45200 and 45213. After we will calculate the factors of 45200 and 45213 and find the biggest common factor number .

Step-1: Prime Factorization of 45200

Prime factors of 45200 are 2, 5, 113. Prime factorization of 45200 in exponential form is:

45200 = 2⁴ × 5² × 113¹

Step-2: Prime Factorization of 45213

Prime factors of 45213 are 3, 7, 2153. Prime factorization of 45213 in exponential form is:

45213 = 3¹ × 7¹ × 2153¹

Step-3: Factors of 45200

List of positive integer factors of 45200 that divides 45200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 113, 200, 226, 400, 452, 565, 904, 1130, 1808, 2260, 2825, 4520, 5650, 9040, 11300, 22600

Step-4: Factors of 45213

List of positive integer factors of 45213 that divides 45200 without a remainder.

1, 3, 7, 21, 2153, 6459, 15071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45200 and 45213. The biggest common factor number is the GCF number.
So the greatest common factor 45200 and 45213 is 1.

Also check out the Least Common Multiple of 45200 and 45213