What is the Greatest Common Factor of 36714 and 36727?

Greatest common factor (GCF) of 36714 and 36727 is 1.

GCF(36714,36727) = 1

We will now calculate the prime factors of 36714 and 36727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36714 and 36727.

How to find the GCF of 36714 and 36727?

We will first find the prime factorization of 36714 and 36727. After we will calculate the factors of 36714 and 36727 and find the biggest common factor number .

Step-1: Prime Factorization of 36714

Prime factors of 36714 are 2, 3, 29, 211. Prime factorization of 36714 in exponential form is:

36714 = 2¹ × 3¹ × 29¹ × 211¹

Step-2: Prime Factorization of 36727

Prime factors of 36727 are 19, 1933. Prime factorization of 36727 in exponential form is:

36727 = 19¹ × 1933¹

Step-3: Factors of 36714

List of positive integer factors of 36714 that divides 36714 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 211, 422, 633, 1266, 6119, 12238, 18357

Step-4: Factors of 36727

List of positive integer factors of 36727 that divides 36714 without a remainder.

1, 19, 1933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36714 and 36727. The biggest common factor number is the GCF number.
So the greatest common factor 36714 and 36727 is 1.

Also check out the Least Common Multiple of 36714 and 36727