What is the Greatest Common Factor of 45283 and 45300?

Greatest common factor (GCF) of 45283 and 45300 is 1.

GCF(45283,45300) = 1

We will now calculate the prime factors of 45283 and 45300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45283 and 45300.

How to find the GCF of 45283 and 45300?

We will first find the prime factorization of 45283 and 45300. After we will calculate the factors of 45283 and 45300 and find the biggest common factor number .

Step-1: Prime Factorization of 45283

Prime factors of 45283 are 7, 6469. Prime factorization of 45283 in exponential form is:

45283 = 7¹ × 6469¹

Step-2: Prime Factorization of 45300

Prime factors of 45300 are 2, 3, 5, 151. Prime factorization of 45300 in exponential form is:

45300 = 2² × 3¹ × 5² × 151¹

Step-3: Factors of 45283

List of positive integer factors of 45283 that divides 45283 without a remainder.

1, 7, 6469

Step-4: Factors of 45300

List of positive integer factors of 45300 that divides 45283 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 151, 300, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 3775, 4530, 7550, 9060, 11325, 15100, 22650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45283 and 45300. The biggest common factor number is the GCF number.
So the greatest common factor 45283 and 45300 is 1.

Also check out the Least Common Multiple of 45283 and 45300