What is the Greatest Common Factor of 6224 and 6231?

Greatest common factor (GCF) of 6224 and 6231 is 1.

GCF(6224,6231) = 1

We will now calculate the prime factors of 6224 and 6231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6224 and 6231.

How to find the GCF of 6224 and 6231?

We will first find the prime factorization of 6224 and 6231. After we will calculate the factors of 6224 and 6231 and find the biggest common factor number .

Step-1: Prime Factorization of 6224

Prime factors of 6224 are 2, 389. Prime factorization of 6224 in exponential form is:

6224 = 2⁴ × 389¹

Step-2: Prime Factorization of 6231

Prime factors of 6231 are 3, 31, 67. Prime factorization of 6231 in exponential form is:

6231 = 3¹ × 31¹ × 67¹

Step-3: Factors of 6224

List of positive integer factors of 6224 that divides 6224 without a remainder.

1, 2, 4, 8, 16, 389, 778, 1556, 3112

Step-4: Factors of 6231

List of positive integer factors of 6231 that divides 6224 without a remainder.

1, 3, 31, 67, 93, 201, 2077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6224 and 6231. The biggest common factor number is the GCF number.
So the greatest common factor 6224 and 6231 is 1.

Also check out the Least Common Multiple of 6224 and 6231