What is the Greatest Common Factor of 6258 and 6277?

Greatest common factor (GCF) of 6258 and 6277 is 1.

GCF(6258,6277) = 1

We will now calculate the prime factors of 6258 and 6277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6258 and 6277.

How to find the GCF of 6258 and 6277?

We will first find the prime factorization of 6258 and 6277. After we will calculate the factors of 6258 and 6277 and find the biggest common factor number .

Step-1: Prime Factorization of 6258

Prime factors of 6258 are 2, 3, 7, 149. Prime factorization of 6258 in exponential form is:

6258 = 2¹ × 3¹ × 7¹ × 149¹

Step-2: Prime Factorization of 6277

Prime factors of 6277 are 6277. Prime factorization of 6277 in exponential form is:

6277 = 6277¹

Step-3: Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129

Step-4: Factors of 6277

List of positive integer factors of 6277 that divides 6258 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6258 and 6277. The biggest common factor number is the GCF number.
So the greatest common factor 6258 and 6277 is 1.

Also check out the Least Common Multiple of 6258 and 6277