What is the Greatest Common Factor of 36635 and 36655?

Greatest common factor (GCF) of 36635 and 36655 is 5.

GCF(36635,36655) = 5

We will now calculate the prime factors of 36635 and 36655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36635 and 36655.

How to find the GCF of 36635 and 36655?

We will first find the prime factorization of 36635 and 36655. After we will calculate the factors of 36635 and 36655 and find the biggest common factor number .

Step-1: Prime Factorization of 36635

Prime factors of 36635 are 5, 17, 431. Prime factorization of 36635 in exponential form is:

36635 = 5¹ × 17¹ × 431¹

Step-2: Prime Factorization of 36655

Prime factors of 36655 are 5, 7331. Prime factorization of 36655 in exponential form is:

36655 = 5¹ × 7331¹

Step-3: Factors of 36635

List of positive integer factors of 36635 that divides 36635 without a remainder.

1, 5, 17, 85, 431, 2155, 7327

Step-4: Factors of 36655

List of positive integer factors of 36655 that divides 36635 without a remainder.

1, 5, 7331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36635 and 36655. The biggest common factor number is the GCF number.
So the greatest common factor 36635 and 36655 is 5.

Also check out the Least Common Multiple of 36635 and 36655