What is the Greatest Common Factor of 42993 and 43010?

Greatest common factor (GCF) of 42993 and 43010 is 17.

GCF(42993,43010) = 17

We will now calculate the prime factors of 42993 and 43010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42993 and 43010.

How to find the GCF of 42993 and 43010?

We will first find the prime factorization of 42993 and 43010. After we will calculate the factors of 42993 and 43010 and find the biggest common factor number .

Step-1: Prime Factorization of 42993

Prime factors of 42993 are 3, 17, 281. Prime factorization of 42993 in exponential form is:

42993 = 3² × 17¹ × 281¹

Step-2: 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-3: Factors of 42993

List of positive integer factors of 42993 that divides 42993 without a remainder.

1, 3, 9, 17, 51, 153, 281, 843, 2529, 4777, 14331

Step-4: Factors of 43010

List of positive integer factors of 43010 that divides 42993 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42993 and 43010. The biggest common factor number is the GCF number.
So the greatest common factor 42993 and 43010 is 17.

Also check out the Least Common Multiple of 42993 and 43010