What is the Greatest Common Factor of 43170 and 43180?

Greatest common factor (GCF) of 43170 and 43180 is 10.

GCF(43170,43180) = 10

We will now calculate the prime factors of 43170 and 43180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43170 and 43180.

How to find the GCF of 43170 and 43180?

We will first find the prime factorization of 43170 and 43180. After we will calculate the factors of 43170 and 43180 and find the biggest common factor number .

Step-1: Prime Factorization of 43170

Prime factors of 43170 are 2, 3, 5, 1439. Prime factorization of 43170 in exponential form is:

43170 = 2¹ × 3¹ × 5¹ × 1439¹

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 43170

List of positive integer factors of 43170 that divides 43170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1439, 2878, 4317, 7195, 8634, 14390, 21585

Step-4: Factors of 43180

List of positive integer factors of 43180 that divides 43170 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 43170 and 43180. The biggest common factor number is the GCF number.
So the greatest common factor 43170 and 43180 is 10.

Also check out the Least Common Multiple of 43170 and 43180