What is the Greatest Common Factor of 36655 and 36671?

Greatest common factor (GCF) of 36655 and 36671 is 1.

GCF(36655,36671) = 1

We will now calculate the prime factors of 36655 and 36671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36655 and 36671.

How to find the GCF of 36655 and 36671?

We will first find the prime factorization of 36655 and 36671. After we will calculate the factors of 36655 and 36671 and find the biggest common factor number .

Step-1: Prime Factorization of 36655

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

36655 = 5¹ × 7331¹

Step-2: Prime Factorization of 36671

Prime factors of 36671 are 36671. Prime factorization of 36671 in exponential form is:

36671 = 36671¹

Step-3: Factors of 36655

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

1, 5, 7331

Step-4: Factors of 36671

List of positive integer factors of 36671 that divides 36655 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36655 and 36671. The biggest common factor number is the GCF number.
So the greatest common factor 36655 and 36671 is 1.

Also check out the Least Common Multiple of 36655 and 36671