What is the Greatest Common Factor of 43010 and 43020?

Greatest common factor (GCF) of 43010 and 43020 is 10.

GCF(43010,43020) = 10

We will now calculate the prime factors of 43010 and 43020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43010 and 43020.

How to find the GCF of 43010 and 43020?

We will first find the prime factorization of 43010 and 43020. After we will calculate the factors of 43010 and 43020 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 43020

Prime factors of 43020 are 2, 3, 5, 239. Prime factorization of 43020 in exponential form is:

43020 = 2² × 3² × 5¹ × 239¹

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 43020

List of positive integer factors of 43020 that divides 43010 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 239, 478, 717, 956, 1195, 1434, 2151, 2390, 2868, 3585, 4302, 4780, 7170, 8604, 10755, 14340, 21510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43010 and 43020. The biggest common factor number is the GCF number.
So the greatest common factor 43010 and 43020 is 10.

Also check out the Least Common Multiple of 43010 and 43020