What is the Greatest Common Factor of 43176 and 43188?

Greatest common factor (GCF) of 43176 and 43188 is 12.

GCF(43176,43188) = 12

We will now calculate the prime factors of 43176 and 43188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43176 and 43188.

How to find the GCF of 43176 and 43188?

We will first find the prime factorization of 43176 and 43188. After we will calculate the factors of 43176 and 43188 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43188

Prime factors of 43188 are 2, 3, 59, 61. Prime factorization of 43188 in exponential form is:

43188 = 2² × 3¹ × 59¹ × 61¹

Step-3: Factors of 43176

List of positive integer factors of 43176 that divides 43176 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

Step-4: Factors of 43188

List of positive integer factors of 43188 that divides 43176 without a remainder.

1, 2, 3, 4, 6, 12, 59, 61, 118, 122, 177, 183, 236, 244, 354, 366, 708, 732, 3599, 7198, 10797, 14396, 21594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43176 and 43188. The biggest common factor number is the GCF number.
So the greatest common factor 43176 and 43188 is 12.

Also check out the Least Common Multiple of 43176 and 43188