What is the Greatest Common Factor of 43005 and 43013?

Greatest common factor (GCF) of 43005 and 43013 is 1.

GCF(43005,43013) = 1

We will now calculate the prime factors of 43005 and 43013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43005 and 43013.

How to find the GCF of 43005 and 43013?

We will first find the prime factorization of 43005 and 43013. After we will calculate the factors of 43005 and 43013 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 43013

Prime factors of 43013 are 43013. Prime factorization of 43013 in exponential form is:

43013 = 43013¹

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 43013

List of positive integer factors of 43013 that divides 43005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43005 and 43013. The biggest common factor number is the GCF number.
So the greatest common factor 43005 and 43013 is 1.

Also check out the Least Common Multiple of 43005 and 43013