What is the Greatest Common Factor of 36631 and 36635?

Greatest common factor (GCF) of 36631 and 36635 is 1.

GCF(36631,36635) = 1

We will now calculate the prime factors of 36631 and 36635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36631 and 36635.

How to find the GCF of 36631 and 36635?

We will first find the prime factorization of 36631 and 36635. After we will calculate the factors of 36631 and 36635 and find the biggest common factor number .

Step-1: Prime Factorization of 36631

Prime factors of 36631 are 7, 5233. Prime factorization of 36631 in exponential form is:

36631 = 7¹ × 5233¹

Step-2: 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-3: Factors of 36631

List of positive integer factors of 36631 that divides 36631 without a remainder.

1, 7, 5233

Step-4: Factors of 36635

List of positive integer factors of 36635 that divides 36631 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36631 and 36635. The biggest common factor number is the GCF number.
So the greatest common factor 36631 and 36635 is 1.

Also check out the Least Common Multiple of 36631 and 36635