What is the Greatest Common Factor of 36714 and 36723?

Greatest common factor (GCF) of 36714 and 36723 is 3.

GCF(36714,36723) = 3

We will now calculate the prime factors of 36714 and 36723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36714 and 36723.

How to find the GCF of 36714 and 36723?

We will first find the prime factorization of 36714 and 36723. After we will calculate the factors of 36714 and 36723 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 36723

Prime factors of 36723 are 3, 12241. Prime factorization of 36723 in exponential form is:

36723 = 3¹ × 12241¹

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 36723

List of positive integer factors of 36723 that divides 36714 without a remainder.

1, 3, 12241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36714 and 36723. The biggest common factor number is the GCF number.
So the greatest common factor 36714 and 36723 is 3.

Also check out the Least Common Multiple of 36714 and 36723