What is the Greatest Common Factor of 8232 and 8246?

Greatest common factor (GCF) of 8232 and 8246 is 14.

GCF(8232,8246) = 14

We will now calculate the prime factors of 8232 and 8246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8232 and 8246.

How to find the GCF of 8232 and 8246?

We will first find the prime factorization of 8232 and 8246. After we will calculate the factors of 8232 and 8246 and find the biggest common factor number .

Step-1: Prime Factorization of 8232

Prime factors of 8232 are 2, 3, 7. Prime factorization of 8232 in exponential form is:

8232 = 2³ × 3¹ × 7³

Step-2: Prime Factorization of 8246

Prime factors of 8246 are 2, 7, 19, 31. Prime factorization of 8246 in exponential form is:

8246 = 2¹ × 7¹ × 19¹ × 31¹

Step-3: Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116

Step-4: Factors of 8246

List of positive integer factors of 8246 that divides 8232 without a remainder.

1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8232 and 8246. The biggest common factor number is the GCF number.
So the greatest common factor 8232 and 8246 is 14.

Also check out the Least Common Multiple of 8232 and 8246