What is the Greatest Common Factor of 43172 and 43180?

Greatest common factor (GCF) of 43172 and 43180 is 4.

GCF(43172,43180) = 4

We will now calculate the prime factors of 43172 and 43180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43172 and 43180.

How to find the GCF of 43172 and 43180?

We will first find the prime factorization of 43172 and 43180. After we will calculate the factors of 43172 and 43180 and find the biggest common factor number .

Step-1: Prime Factorization of 43172

Prime factors of 43172 are 2, 43, 251. Prime factorization of 43172 in exponential form is:

43172 = 2² × 43¹ × 251¹

Step-2: Prime Factorization of 43180

Prime factors of 43180 are 2, 5, 17, 127. Prime factorization of 43180 in exponential form is:

43180 = 2² × 5¹ × 17¹ × 127¹

Step-3: Factors of 43172

List of positive integer factors of 43172 that divides 43172 without a remainder.

1, 2, 4, 43, 86, 172, 251, 502, 1004, 10793, 21586

Step-4: Factors of 43180

List of positive integer factors of 43180 that divides 43172 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 127, 170, 254, 340, 508, 635, 1270, 2159, 2540, 4318, 8636, 10795, 21590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43172 and 43180. The biggest common factor number is the GCF number.
So the greatest common factor 43172 and 43180 is 4.

Also check out the Least Common Multiple of 43172 and 43180