What is the Greatest Common Factor of 6249 and 6256?

Greatest common factor (GCF) of 6249 and 6256 is 1.

GCF(6249,6256) = 1

We will now calculate the prime factors of 6249 and 6256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6249 and 6256.

How to find the GCF of 6249 and 6256?

We will first find the prime factorization of 6249 and 6256. After we will calculate the factors of 6249 and 6256 and find the biggest common factor number .

Step-1: Prime Factorization of 6249

Prime factors of 6249 are 3, 2083. Prime factorization of 6249 in exponential form is:

6249 = 3¹ × 2083¹

Step-2: Prime Factorization of 6256

Prime factors of 6256 are 2, 17, 23. Prime factorization of 6256 in exponential form is:

6256 = 2⁴ × 17¹ × 23¹

Step-3: Factors of 6249

List of positive integer factors of 6249 that divides 6249 without a remainder.

1, 3, 2083

Step-4: Factors of 6256

List of positive integer factors of 6256 that divides 6249 without a remainder.

1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6249 and 6256. The biggest common factor number is the GCF number.
So the greatest common factor 6249 and 6256 is 1.

Also check out the Least Common Multiple of 6249 and 6256