What is the Greatest Common Factor of 6274 and 6288?

Greatest common factor (GCF) of 6274 and 6288 is 2.

GCF(6274,6288) = 2

We will now calculate the prime factors of 6274 and 6288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6274 and 6288.

How to find the GCF of 6274 and 6288?

We will first find the prime factorization of 6274 and 6288. After we will calculate the factors of 6274 and 6288 and find the biggest common factor number .

Step-1: Prime Factorization of 6274

Prime factors of 6274 are 2, 3137. Prime factorization of 6274 in exponential form is:

6274 = 2¹ × 3137¹

Step-2: Prime Factorization of 6288

Prime factors of 6288 are 2, 3, 131. Prime factorization of 6288 in exponential form is:

6288 = 2⁴ × 3¹ × 131¹

Step-3: Factors of 6274

List of positive integer factors of 6274 that divides 6274 without a remainder.

1, 2, 3137

Step-4: Factors of 6288

List of positive integer factors of 6288 that divides 6274 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6274 and 6288. The biggest common factor number is the GCF number.
So the greatest common factor 6274 and 6288 is 2.

Also check out the Least Common Multiple of 6274 and 6288