What is the Greatest Common Factor of 36869 and 36877?

Greatest common factor (GCF) of 36869 and 36877 is 1.

GCF(36869,36877) = 1

We will now calculate the prime factors of 36869 and 36877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36869 and 36877.

How to find the GCF of 36869 and 36877?

We will first find the prime factorization of 36869 and 36877. After we will calculate the factors of 36869 and 36877 and find the biggest common factor number .

Step-1: Prime Factorization of 36869

Prime factors of 36869 are 7, 23, 229. Prime factorization of 36869 in exponential form is:

36869 = 7¹ × 23¹ × 229¹

Step-2: Prime Factorization of 36877

Prime factors of 36877 are 36877. Prime factorization of 36877 in exponential form is:

36877 = 36877¹

Step-3: Factors of 36869

List of positive integer factors of 36869 that divides 36869 without a remainder.

1, 7, 23, 161, 229, 1603, 5267

Step-4: Factors of 36877

List of positive integer factors of 36877 that divides 36869 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36869 and 36877. The biggest common factor number is the GCF number.
So the greatest common factor 36869 and 36877 is 1.

Also check out the Least Common Multiple of 36869 and 36877