What is the Greatest Common Factor of 6254 and 6263?

Greatest common factor (GCF) of 6254 and 6263 is 1.

GCF(6254,6263) = 1

We will now calculate the prime factors of 6254 and 6263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6254 and 6263.

How to find the GCF of 6254 and 6263?

We will first find the prime factorization of 6254 and 6263. After we will calculate the factors of 6254 and 6263 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 6263

Prime factors of 6263 are 6263. Prime factorization of 6263 in exponential form is:

6263 = 6263¹

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 6263

List of positive integer factors of 6263 that divides 6254 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6254 and 6263. The biggest common factor number is the GCF number.
So the greatest common factor 6254 and 6263 is 1.

Also check out the Least Common Multiple of 6254 and 6263