What is the Greatest Common Factor of 4035 and 4040?

Greatest common factor (GCF) of 4035 and 4040 is 5.

GCF(4035,4040) = 5

We will now calculate the prime factors of 4035 and 4040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4035 and 4040.

How to find the GCF of 4035 and 4040?

We will first find the prime factorization of 4035 and 4040. After we will calculate the factors of 4035 and 4040 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4040

Prime factors of 4040 are 2, 5, 101. Prime factorization of 4040 in exponential form is:

4040 = 2³ × 5¹ × 101¹

Step-3: Factors of 4035

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

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

Step-4: Factors of 4040

List of positive integer factors of 4040 that divides 4035 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4035 and 4040. The biggest common factor number is the GCF number.
So the greatest common factor 4035 and 4040 is 5.

Also check out the Least Common Multiple of 4035 and 4040