What is the Greatest Common Factor of 36870 and 36887?

Greatest common factor (GCF) of 36870 and 36887 is 1.

GCF(36870,36887) = 1

We will now calculate the prime factors of 36870 and 36887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36870 and 36887.

How to find the GCF of 36870 and 36887?

We will first find the prime factorization of 36870 and 36887. After we will calculate the factors of 36870 and 36887 and find the biggest common factor number .

Step-1: Prime Factorization of 36870

Prime factors of 36870 are 2, 3, 5, 1229. Prime factorization of 36870 in exponential form is:

36870 = 2¹ × 3¹ × 5¹ × 1229¹

Step-2: Prime Factorization of 36887

Prime factors of 36887 are 36887. Prime factorization of 36887 in exponential form is:

36887 = 36887¹

Step-3: Factors of 36870

List of positive integer factors of 36870 that divides 36870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1229, 2458, 3687, 6145, 7374, 12290, 18435

Step-4: Factors of 36887

List of positive integer factors of 36887 that divides 36870 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36870 and 36887. The biggest common factor number is the GCF number.
So the greatest common factor 36870 and 36887 is 1.

Also check out the Least Common Multiple of 36870 and 36887