What is the Greatest Common Factor of 43167 and 43176?

Greatest common factor (GCF) of 43167 and 43176 is 3.

GCF(43167,43176) = 3

We will now calculate the prime factors of 43167 and 43176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43167 and 43176.

How to find the GCF of 43167 and 43176?

We will first find the prime factorization of 43167 and 43176. After we will calculate the factors of 43167 and 43176 and find the biggest common factor number .

Step-1: Prime Factorization of 43167

Prime factors of 43167 are 3, 14389. Prime factorization of 43167 in exponential form is:

43167 = 3¹ × 14389¹

Step-2: Prime Factorization of 43176

Prime factors of 43176 are 2, 3, 7, 257. Prime factorization of 43176 in exponential form is:

43176 = 2³ × 3¹ × 7¹ × 257¹

Step-3: Factors of 43167

List of positive integer factors of 43167 that divides 43167 without a remainder.

1, 3, 14389

Step-4: Factors of 43176

List of positive integer factors of 43176 that divides 43167 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 257, 514, 771, 1028, 1542, 1799, 2056, 3084, 3598, 5397, 6168, 7196, 10794, 14392, 21588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43167 and 43176. The biggest common factor number is the GCF number.
So the greatest common factor 43167 and 43176 is 3.

Also check out the Least Common Multiple of 43167 and 43176