What is the Greatest Common Factor of 6214 and 6232?

Greatest common factor (GCF) of 6214 and 6232 is 2.

GCF(6214,6232) = 2

We will now calculate the prime factors of 6214 and 6232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6214 and 6232.

How to find the GCF of 6214 and 6232?

We will first find the prime factorization of 6214 and 6232. After we will calculate the factors of 6214 and 6232 and find the biggest common factor number .

Step-1: Prime Factorization of 6214

Prime factors of 6214 are 2, 13, 239. Prime factorization of 6214 in exponential form is:

6214 = 2¹ × 13¹ × 239¹

Step-2: Prime Factorization of 6232

Prime factors of 6232 are 2, 19, 41. Prime factorization of 6232 in exponential form is:

6232 = 2³ × 19¹ × 41¹

Step-3: Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1, 2, 13, 26, 239, 478, 3107

Step-4: Factors of 6232

List of positive integer factors of 6232 that divides 6214 without a remainder.

1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6214 and 6232. The biggest common factor number is the GCF number.
So the greatest common factor 6214 and 6232 is 2.

Also check out the Least Common Multiple of 6214 and 6232