What is the Greatest Common Factor of 37263 and 37281?

Greatest common factor (GCF) of 37263 and 37281 is 3.

GCF(37263,37281) = 3

We will now calculate the prime factors of 37263 and 37281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37263 and 37281.

How to find the GCF of 37263 and 37281?

We will first find the prime factorization of 37263 and 37281. After we will calculate the factors of 37263 and 37281 and find the biggest common factor number .

Step-1: Prime Factorization of 37263

Prime factors of 37263 are 3, 12421. Prime factorization of 37263 in exponential form is:

37263 = 3¹ × 12421¹

Step-2: Prime Factorization of 37281

Prime factors of 37281 are 3, 17, 43. Prime factorization of 37281 in exponential form is:

37281 = 3¹ × 17² × 43¹

Step-3: Factors of 37263

List of positive integer factors of 37263 that divides 37263 without a remainder.

1, 3, 12421

Step-4: Factors of 37281

List of positive integer factors of 37281 that divides 37263 without a remainder.

1, 3, 17, 43, 51, 129, 289, 731, 867, 2193, 12427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37263 and 37281. The biggest common factor number is the GCF number.
So the greatest common factor 37263 and 37281 is 3.

Also check out the Least Common Multiple of 37263 and 37281