What is the Greatest Common Factor of 6251 and 6258?

Greatest common factor (GCF) of 6251 and 6258 is 7.

GCF(6251,6258) = 7

We will now calculate the prime factors of 6251 and 6258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6251 and 6258.

How to find the GCF of 6251 and 6258?

We will first find the prime factorization of 6251 and 6258. After we will calculate the factors of 6251 and 6258 and find the biggest common factor number .

Step-1: Prime Factorization of 6251

Prime factors of 6251 are 7, 19, 47. Prime factorization of 6251 in exponential form is:

6251 = 7¹ × 19¹ × 47¹

Step-2: 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-3: Factors of 6251

List of positive integer factors of 6251 that divides 6251 without a remainder.

1, 7, 19, 47, 133, 329, 893

Step-4: Factors of 6258

List of positive integer factors of 6258 that divides 6251 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6251 and 6258. The biggest common factor number is the GCF number.
So the greatest common factor 6251 and 6258 is 7.

Also check out the Least Common Multiple of 6251 and 6258