What is the Greatest Common Factor of 36639 and 36650?

Greatest common factor (GCF) of 36639 and 36650 is 1.

GCF(36639,36650) = 1

We will now calculate the prime factors of 36639 and 36650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36639 and 36650.

How to find the GCF of 36639 and 36650?

We will first find the prime factorization of 36639 and 36650. After we will calculate the factors of 36639 and 36650 and find the biggest common factor number .

Step-1: Prime Factorization of 36639

Prime factors of 36639 are 3, 23, 59. Prime factorization of 36639 in exponential form is:

36639 = 3³ × 23¹ × 59¹

Step-2: Prime Factorization of 36650

Prime factors of 36650 are 2, 5, 733. Prime factorization of 36650 in exponential form is:

36650 = 2¹ × 5² × 733¹

Step-3: Factors of 36639

List of positive integer factors of 36639 that divides 36639 without a remainder.

1, 3, 9, 23, 27, 59, 69, 177, 207, 531, 621, 1357, 1593, 4071, 12213

Step-4: Factors of 36650

List of positive integer factors of 36650 that divides 36639 without a remainder.

1, 2, 5, 10, 25, 50, 733, 1466, 3665, 7330, 18325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36639 and 36650. The biggest common factor number is the GCF number.
So the greatest common factor 36639 and 36650 is 1.

Also check out the Least Common Multiple of 36639 and 36650