What is the Greatest Common Factor of 6237 and 6248?

Greatest common factor (GCF) of 6237 and 6248 is 11.

GCF(6237,6248) = 11

We will now calculate the prime factors of 6237 and 6248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6237 and 6248.

How to find the GCF of 6237 and 6248?

We will first find the prime factorization of 6237 and 6248. After we will calculate the factors of 6237 and 6248 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 6248

Prime factors of 6248 are 2, 11, 71. Prime factorization of 6248 in exponential form is:

6248 = 2³ × 11¹ × 71¹

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 6248

List of positive integer factors of 6248 that divides 6237 without a remainder.

1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6237 and 6248. The biggest common factor number is the GCF number.
So the greatest common factor 6237 and 6248 is 11.

Also check out the Least Common Multiple of 6237 and 6248