What is the Greatest Common Factor of 6278 and 6291?

Greatest common factor (GCF) of 6278 and 6291 is 1.

GCF(6278,6291) = 1

We will now calculate the prime factors of 6278 and 6291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6278 and 6291.

How to find the GCF of 6278 and 6291?

We will first find the prime factorization of 6278 and 6291. After we will calculate the factors of 6278 and 6291 and find the biggest common factor number .

Step-1: Prime Factorization of 6278

Prime factors of 6278 are 2, 43, 73. Prime factorization of 6278 in exponential form is:

6278 = 2¹ × 43¹ × 73¹

Step-2: Prime Factorization of 6291

Prime factors of 6291 are 3, 233. Prime factorization of 6291 in exponential form is:

6291 = 3³ × 233¹

Step-3: Factors of 6278

List of positive integer factors of 6278 that divides 6278 without a remainder.

1, 2, 43, 73, 86, 146, 3139

Step-4: Factors of 6291

List of positive integer factors of 6291 that divides 6278 without a remainder.

1, 3, 9, 27, 233, 699, 2097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6278 and 6291. The biggest common factor number is the GCF number.
So the greatest common factor 6278 and 6291 is 1.

Also check out the Least Common Multiple of 6278 and 6291