What is the Greatest Common Factor of 4030 and 4035?

Greatest common factor (GCF) of 4030 and 4035 is 5.

GCF(4030,4035) = 5

We will now calculate the prime factors of 4030 and 4035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4030 and 4035.

How to find the GCF of 4030 and 4035?

We will first find the prime factorization of 4030 and 4035. After we will calculate the factors of 4030 and 4035 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4035

Prime factors of 4035 are 3, 5, 269. Prime factorization of 4035 in exponential form is:

4035 = 3¹ × 5¹ × 269¹

Step-3: Factors of 4030

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

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

Step-4: Factors of 4035

List of positive integer factors of 4035 that divides 4030 without a remainder.

1, 3, 5, 15, 269, 807, 1345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4030 and 4035. The biggest common factor number is the GCF number.
So the greatest common factor 4030 and 4035 is 5.

Also check out the Least Common Multiple of 4030 and 4035