What is the Greatest Common Factor of 45300 and 45320?

Greatest common factor (GCF) of 45300 and 45320 is 20.

GCF(45300,45320) = 20

We will now calculate the prime factors of 45300 and 45320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45300 and 45320.

How to find the GCF of 45300 and 45320?

We will first find the prime factorization of 45300 and 45320. After we will calculate the factors of 45300 and 45320 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45320

Prime factors of 45320 are 2, 5, 11, 103. Prime factorization of 45320 in exponential form is:

45320 = 2³ × 5¹ × 11¹ × 103¹

Step-3: Factors of 45300

List of positive integer factors of 45300 that divides 45300 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

Step-4: Factors of 45320

List of positive integer factors of 45320 that divides 45300 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 103, 110, 206, 220, 412, 440, 515, 824, 1030, 1133, 2060, 2266, 4120, 4532, 5665, 9064, 11330, 22660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45300 and 45320. The biggest common factor number is the GCF number.
So the greatest common factor 45300 and 45320 is 20.

Also check out the Least Common Multiple of 45300 and 45320