What is the Greatest Common Factor of 6272 and 6281?

Greatest common factor (GCF) of 6272 and 6281 is 1.

GCF(6272,6281) = 1

We will now calculate the prime factors of 6272 and 6281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6272 and 6281.

How to find the GCF of 6272 and 6281?

We will first find the prime factorization of 6272 and 6281. After we will calculate the factors of 6272 and 6281 and find the biggest common factor number .

Step-1: Prime Factorization of 6272

Prime factors of 6272 are 2, 7. Prime factorization of 6272 in exponential form is:

6272 = 2⁷ × 7²

Step-2: Prime Factorization of 6281

Prime factors of 6281 are 11, 571. Prime factorization of 6281 in exponential form is:

6281 = 11¹ × 571¹

Step-3: Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136

Step-4: Factors of 6281

List of positive integer factors of 6281 that divides 6272 without a remainder.

1, 11, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6272 and 6281. The biggest common factor number is the GCF number.
So the greatest common factor 6272 and 6281 is 1.

Also check out the Least Common Multiple of 6272 and 6281