What is the Greatest Common Factor of 45481 and 45500?

Greatest common factor (GCF) of 45481 and 45500 is 1.

GCF(45481,45500) = 1

We will now calculate the prime factors of 45481 and 45500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45481 and 45500.

How to find the GCF of 45481 and 45500?

We will first find the prime factorization of 45481 and 45500. After we will calculate the factors of 45481 and 45500 and find the biggest common factor number .

Step-1: Prime Factorization of 45481

Prime factors of 45481 are 45481. Prime factorization of 45481 in exponential form is:

45481 = 45481¹

Step-2: Prime Factorization of 45500

Prime factors of 45500 are 2, 5, 7, 13. Prime factorization of 45500 in exponential form is:

45500 = 2² × 5³ × 7¹ × 13¹

Step-3: Factors of 45481

List of positive integer factors of 45481 that divides 45481 without a remainder.

Step-4: Factors of 45500

List of positive integer factors of 45500 that divides 45481 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 125, 130, 140, 175, 182, 250, 260, 325, 350, 364, 455, 500, 650, 700, 875, 910, 1300, 1625, 1750, 1820, 2275, 3250, 3500, 4550, 6500, 9100, 11375, 22750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45481 and 45500. The biggest common factor number is the GCF number.
So the greatest common factor 45481 and 45500 is 1.

Also check out the Least Common Multiple of 45481 and 45500