What is the Greatest Common Factor of 43650 and 43665?

Greatest common factor (GCF) of 43650 and 43665 is 15.

GCF(43650,43665) = 15

We will now calculate the prime factors of 43650 and 43665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43650 and 43665.

How to find the GCF of 43650 and 43665?

We will first find the prime factorization of 43650 and 43665. After we will calculate the factors of 43650 and 43665 and find the biggest common factor number .

Step-1: Prime Factorization of 43650

Prime factors of 43650 are 2, 3, 5, 97. Prime factorization of 43650 in exponential form is:

43650 = 2¹ × 3² × 5² × 97¹

Step-2: Prime Factorization of 43665

Prime factors of 43665 are 3, 5, 41, 71. Prime factorization of 43665 in exponential form is:

43665 = 3¹ × 5¹ × 41¹ × 71¹

Step-3: Factors of 43650

List of positive integer factors of 43650 that divides 43650 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 97, 150, 194, 225, 291, 450, 485, 582, 873, 970, 1455, 1746, 2425, 2910, 4365, 4850, 7275, 8730, 14550, 21825

Step-4: Factors of 43665

List of positive integer factors of 43665 that divides 43650 without a remainder.

1, 3, 5, 15, 41, 71, 123, 205, 213, 355, 615, 1065, 2911, 8733, 14555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43650 and 43665. The biggest common factor number is the GCF number.
So the greatest common factor 43650 and 43665 is 15.

Also check out the Least Common Multiple of 43650 and 43665