What is the Greatest Common Factor of 6253 and 6266?

Greatest common factor (GCF) of 6253 and 6266 is 13.

GCF(6253,6266) = 13

We will now calculate the prime factors of 6253 and 6266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6253 and 6266.

How to find the GCF of 6253 and 6266?

We will first find the prime factorization of 6253 and 6266. After we will calculate the factors of 6253 and 6266 and find the biggest common factor number .

Step-1: Prime Factorization of 6253

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

6253 = 13² × 37¹

Step-2: Prime Factorization of 6266

Prime factors of 6266 are 2, 13, 241. Prime factorization of 6266 in exponential form is:

6266 = 2¹ × 13¹ × 241¹

Step-3: Factors of 6253

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

1, 13, 37, 169, 481

Step-4: Factors of 6266

List of positive integer factors of 6266 that divides 6253 without a remainder.

1, 2, 13, 26, 241, 482, 3133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6253 and 6266. The biggest common factor number is the GCF number.
So the greatest common factor 6253 and 6266 is 13.

Also check out the Least Common Multiple of 6253 and 6266