What is the Greatest Common Factor of 4017 and 4030?

Greatest common factor (GCF) of 4017 and 4030 is 13.

GCF(4017,4030) = 13

We will now calculate the prime factors of 4017 and 4030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4017 and 4030.

How to find the GCF of 4017 and 4030?

We will first find the prime factorization of 4017 and 4030. After we will calculate the factors of 4017 and 4030 and find the biggest common factor number .

Step-1: Prime Factorization of 4017

Prime factors of 4017 are 3, 13, 103. Prime factorization of 4017 in exponential form is:

4017 = 3¹ × 13¹ × 103¹

Step-2: Prime Factorization of 4030

Prime factors of 4030 are 2, 5, 13, 31. Prime factorization of 4030 in exponential form is:

4030 = 2¹ × 5¹ × 13¹ × 31¹

Step-3: Factors of 4017

List of positive integer factors of 4017 that divides 4017 without a remainder.

1, 3, 13, 39, 103, 309, 1339

Step-4: Factors of 4030

List of positive integer factors of 4030 that divides 4017 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4017 and 4030. The biggest common factor number is the GCF number.
So the greatest common factor 4017 and 4030 is 13.

Also check out the Least Common Multiple of 4017 and 4030