What is the Greatest Common Factor of 45300 and 45305?

Greatest common factor (GCF) of 45300 and 45305 is 5.

GCF(45300,45305) = 5

We will now calculate the prime factors of 45300 and 45305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45300 and 45305.

How to find the GCF of 45300 and 45305?

We will first find the prime factorization of 45300 and 45305. After we will calculate the factors of 45300 and 45305 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 45305

Prime factors of 45305 are 5, 13, 17, 41. Prime factorization of 45305 in exponential form is:

45305 = 5¹ × 13¹ × 17¹ × 41¹

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 45305

List of positive integer factors of 45305 that divides 45300 without a remainder.

1, 5, 13, 17, 41, 65, 85, 205, 221, 533, 697, 1105, 2665, 3485, 9061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45300 and 45305. The biggest common factor number is the GCF number.
So the greatest common factor 45300 and 45305 is 5.

Also check out the Least Common Multiple of 45300 and 45305