What is the Greatest Common Factor of 43017 and 43030?

Greatest common factor (GCF) of 43017 and 43030 is 13.

GCF(43017,43030) = 13

We will now calculate the prime factors of 43017 and 43030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43017 and 43030.

How to find the GCF of 43017 and 43030?

We will first find the prime factorization of 43017 and 43030. After we will calculate the factors of 43017 and 43030 and find the biggest common factor number .

Step-1: Prime Factorization of 43017

Prime factors of 43017 are 3, 13, 1103. Prime factorization of 43017 in exponential form is:

43017 = 3¹ × 13¹ × 1103¹

Step-2: Prime Factorization of 43030

Prime factors of 43030 are 2, 5, 13, 331. Prime factorization of 43030 in exponential form is:

43030 = 2¹ × 5¹ × 13¹ × 331¹

Step-3: Factors of 43017

List of positive integer factors of 43017 that divides 43017 without a remainder.

1, 3, 13, 39, 1103, 3309, 14339

Step-4: Factors of 43030

List of positive integer factors of 43030 that divides 43017 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 331, 662, 1655, 3310, 4303, 8606, 21515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43017 and 43030. The biggest common factor number is the GCF number.
So the greatest common factor 43017 and 43030 is 13.

Also check out the Least Common Multiple of 43017 and 43030