What is the Greatest Common Factor of 37827 and 37833?

Greatest common factor (GCF) of 37827 and 37833 is 3.

GCF(37827,37833) = 3

We will now calculate the prime factors of 37827 and 37833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37827 and 37833.

How to find the GCF of 37827 and 37833?

We will first find the prime factorization of 37827 and 37833. After we will calculate the factors of 37827 and 37833 and find the biggest common factor number .

Step-1: Prime Factorization of 37827

Prime factors of 37827 are 3, 467. Prime factorization of 37827 in exponential form is:

37827 = 3⁴ × 467¹

Step-2: Prime Factorization of 37833

Prime factors of 37833 are 3, 12611. Prime factorization of 37833 in exponential form is:

37833 = 3¹ × 12611¹

Step-3: Factors of 37827

List of positive integer factors of 37827 that divides 37827 without a remainder.

1, 3, 9, 27, 81, 467, 1401, 4203, 12609

Step-4: Factors of 37833

List of positive integer factors of 37833 that divides 37827 without a remainder.

1, 3, 12611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37827 and 37833. The biggest common factor number is the GCF number.
So the greatest common factor 37827 and 37833 is 3.

Also check out the Least Common Multiple of 37827 and 37833