What is the Greatest Common Factor of 6254 and 6271?

Greatest common factor (GCF) of 6254 and 6271 is 1.

GCF(6254,6271) = 1

We will now calculate the prime factors of 6254 and 6271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6254 and 6271.

How to find the GCF of 6254 and 6271?

We will first find the prime factorization of 6254 and 6271. After we will calculate the factors of 6254 and 6271 and find the biggest common factor number .

Step-1: Prime Factorization of 6254

Prime factors of 6254 are 2, 53, 59. Prime factorization of 6254 in exponential form is:

6254 = 2¹ × 53¹ × 59¹

Step-2: Prime Factorization of 6271

Prime factors of 6271 are 6271. Prime factorization of 6271 in exponential form is:

6271 = 6271¹

Step-3: Factors of 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1, 2, 53, 59, 106, 118, 3127

Step-4: Factors of 6271

List of positive integer factors of 6271 that divides 6254 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6254 and 6271. The biggest common factor number is the GCF number.
So the greatest common factor 6254 and 6271 is 1.

Also check out the Least Common Multiple of 6254 and 6271