What is the Greatest Common Factor of 6286 and 6306?

Greatest common factor (GCF) of 6286 and 6306 is 2.

GCF(6286,6306) = 2

We will now calculate the prime factors of 6286 and 6306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6286 and 6306.

How to find the GCF of 6286 and 6306?

We will first find the prime factorization of 6286 and 6306. After we will calculate the factors of 6286 and 6306 and find the biggest common factor number .

Step-1: Prime Factorization of 6286

Prime factors of 6286 are 2, 7, 449. Prime factorization of 6286 in exponential form is:

6286 = 2¹ × 7¹ × 449¹

Step-2: Prime Factorization of 6306

Prime factors of 6306 are 2, 3, 1051. Prime factorization of 6306 in exponential form is:

6306 = 2¹ × 3¹ × 1051¹

Step-3: Factors of 6286

List of positive integer factors of 6286 that divides 6286 without a remainder.

1, 2, 7, 14, 449, 898, 3143

Step-4: Factors of 6306

List of positive integer factors of 6306 that divides 6286 without a remainder.

1, 2, 3, 6, 1051, 2102, 3153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6286 and 6306. The biggest common factor number is the GCF number.
So the greatest common factor 6286 and 6306 is 2.

Also check out the Least Common Multiple of 6286 and 6306