What is the Greatest Common Factor of 43180 and 43185?

Greatest common factor (GCF) of 43180 and 43185 is 5.

GCF(43180,43185) = 5

We will now calculate the prime factors of 43180 and 43185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43180 and 43185.

How to find the GCF of 43180 and 43185?

We will first find the prime factorization of 43180 and 43185. After we will calculate the factors of 43180 and 43185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43185

Prime factors of 43185 are 3, 5, 2879. Prime factorization of 43185 in exponential form is:

43185 = 3¹ × 5¹ × 2879¹

Step-3: Factors of 43180

List of positive integer factors of 43180 that divides 43180 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

Step-4: Factors of 43185

List of positive integer factors of 43185 that divides 43180 without a remainder.

1, 3, 5, 15, 2879, 8637, 14395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43180 and 43185. The biggest common factor number is the GCF number.
So the greatest common factor 43180 and 43185 is 5.

Also check out the Least Common Multiple of 43180 and 43185