What is the Greatest Common Factor of 73635 and 73650?

Greatest common factor (GCF) of 73635 and 73650 is 15.

GCF(73635,73650) = 15

We will now calculate the prime factors of 73635 and 73650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73635 and 73650.

How to find the GCF of 73635 and 73650?

We will first find the prime factorization of 73635 and 73650. After we will calculate the factors of 73635 and 73650 and find the biggest common factor number .

Step-1: Prime Factorization of 73635

Prime factors of 73635 are 3, 5, 4909. Prime factorization of 73635 in exponential form is:

73635 = 3¹ × 5¹ × 4909¹

Step-2: Prime Factorization of 73650

Prime factors of 73650 are 2, 3, 5, 491. Prime factorization of 73650 in exponential form is:

73650 = 2¹ × 3¹ × 5² × 491¹

Step-3: Factors of 73635

List of positive integer factors of 73635 that divides 73635 without a remainder.

1, 3, 5, 15, 4909, 14727, 24545

Step-4: Factors of 73650

List of positive integer factors of 73650 that divides 73635 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 491, 982, 1473, 2455, 2946, 4910, 7365, 12275, 14730, 24550, 36825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73635 and 73650. The biggest common factor number is the GCF number.
So the greatest common factor 73635 and 73650 is 15.

Also check out the Least Common Multiple of 73635 and 73650