What is the Greatest Common Factor of 6237 and 6253?

Greatest common factor (GCF) of 6237 and 6253 is 1.

GCF(6237,6253) = 1

We will now calculate the prime factors of 6237 and 6253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6237 and 6253.

How to find the GCF of 6237 and 6253?

We will first find the prime factorization of 6237 and 6253. After we will calculate the factors of 6237 and 6253 and find the biggest common factor number .

Step-1: Prime Factorization of 6237

Prime factors of 6237 are 3, 7, 11. Prime factorization of 6237 in exponential form is:

6237 = 3⁴ × 7¹ × 11¹

Step-2: Prime Factorization of 6253

Prime factors of 6253 are 13, 37. Prime factorization of 6253 in exponential form is:

6253 = 13² × 37¹

Step-3: Factors of 6237

List of positive integer factors of 6237 that divides 6237 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079

Step-4: Factors of 6253

List of positive integer factors of 6253 that divides 6237 without a remainder.

1, 13, 37, 169, 481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6237 and 6253. The biggest common factor number is the GCF number.
So the greatest common factor 6237 and 6253 is 1.

Also check out the Least Common Multiple of 6237 and 6253