What is the Greatest Common Factor of 36237 and 36255?

Greatest common factor (GCF) of 36237 and 36255 is 3.

GCF(36237,36255) = 3

We will now calculate the prime factors of 36237 and 36255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36237 and 36255.

How to find the GCF of 36237 and 36255?

We will first find the prime factorization of 36237 and 36255. After we will calculate the factors of 36237 and 36255 and find the biggest common factor number .

Step-1: Prime Factorization of 36237

Prime factors of 36237 are 3, 47, 257. Prime factorization of 36237 in exponential form is:

36237 = 3¹ × 47¹ × 257¹

Step-2: Prime Factorization of 36255

Prime factors of 36255 are 3, 5, 2417. Prime factorization of 36255 in exponential form is:

36255 = 3¹ × 5¹ × 2417¹

Step-3: Factors of 36237

List of positive integer factors of 36237 that divides 36237 without a remainder.

1, 3, 47, 141, 257, 771, 12079

Step-4: Factors of 36255

List of positive integer factors of 36255 that divides 36237 without a remainder.

1, 3, 5, 15, 2417, 7251, 12085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36237 and 36255. The biggest common factor number is the GCF number.
So the greatest common factor 36237 and 36255 is 3.

Also check out the Least Common Multiple of 36237 and 36255