What is the Greatest Common Factor of 42993 and 43005?

Greatest common factor (GCF) of 42993 and 43005 is 3.

GCF(42993,43005) = 3

We will now calculate the prime factors of 42993 and 43005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42993 and 43005.

How to find the GCF of 42993 and 43005?

We will first find the prime factorization of 42993 and 43005. After we will calculate the factors of 42993 and 43005 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 43005

Prime factors of 43005 are 3, 5, 47, 61. Prime factorization of 43005 in exponential form is:

43005 = 3¹ × 5¹ × 47¹ × 61¹

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 43005

List of positive integer factors of 43005 that divides 42993 without a remainder.

1, 3, 5, 15, 47, 61, 141, 183, 235, 305, 705, 915, 2867, 8601, 14335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42993 and 43005. The biggest common factor number is the GCF number.
So the greatest common factor 42993 and 43005 is 3.

Also check out the Least Common Multiple of 42993 and 43005