What is the Greatest Common Factor of 43005 and 43011?

Greatest common factor (GCF) of 43005 and 43011 is 3.

GCF(43005,43011) = 3

We will now calculate the prime factors of 43005 and 43011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43005 and 43011.

How to find the GCF of 43005 and 43011?

We will first find the prime factorization of 43005 and 43011. After we will calculate the factors of 43005 and 43011 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43011

Prime factors of 43011 are 3, 59. Prime factorization of 43011 in exponential form is:

43011 = 3⁶ × 59¹

Step-3: Factors of 43005

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

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

Step-4: Factors of 43011

List of positive integer factors of 43011 that divides 43005 without a remainder.

1, 3, 9, 27, 59, 81, 177, 243, 531, 729, 1593, 4779, 14337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43005 and 43011. The biggest common factor number is the GCF number.
So the greatest common factor 43005 and 43011 is 3.

Also check out the Least Common Multiple of 43005 and 43011