What is the Greatest Common Factor of 43010 and 43016?

Greatest common factor (GCF) of 43010 and 43016 is 2.

GCF(43010,43016) = 2

We will now calculate the prime factors of 43010 and 43016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43010 and 43016.

How to find the GCF of 43010 and 43016?

We will first find the prime factorization of 43010 and 43016. After we will calculate the factors of 43010 and 43016 and find the biggest common factor number .

Step-1: Prime Factorization of 43010

Prime factors of 43010 are 2, 5, 11, 17, 23. Prime factorization of 43010 in exponential form is:

43010 = 2¹ × 5¹ × 11¹ × 17¹ × 23¹

Step-2: Prime Factorization of 43016

Prime factors of 43016 are 2, 19, 283. Prime factorization of 43016 in exponential form is:

43016 = 2³ × 19¹ × 283¹

Step-3: Factors of 43010

List of positive integer factors of 43010 that divides 43010 without a remainder.

1, 2, 5, 10, 11, 17, 22, 23, 34, 46, 55, 85, 110, 115, 170, 187, 230, 253, 374, 391, 506, 782, 935, 1265, 1870, 1955, 2530, 3910, 4301, 8602, 21505

Step-4: Factors of 43016

List of positive integer factors of 43016 that divides 43010 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 283, 566, 1132, 2264, 5377, 10754, 21508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43010 and 43016. The biggest common factor number is the GCF number.
So the greatest common factor 43010 and 43016 is 2.

Also check out the Least Common Multiple of 43010 and 43016