What is the Greatest Common Factor of 4075 and 4080?

Greatest common factor (GCF) of 4075 and 4080 is 5.

GCF(4075,4080) = 5

We will now calculate the prime factors of 4075 and 4080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4075 and 4080.

How to find the GCF of 4075 and 4080?

We will first find the prime factorization of 4075 and 4080. After we will calculate the factors of 4075 and 4080 and find the biggest common factor number .

Step-1: Prime Factorization of 4075

Prime factors of 4075 are 5, 163. Prime factorization of 4075 in exponential form is:

4075 = 5² × 163¹

Step-2: Prime Factorization of 4080

Prime factors of 4080 are 2, 3, 5, 17. Prime factorization of 4080 in exponential form is:

4080 = 2⁴ × 3¹ × 5¹ × 17¹

Step-3: Factors of 4075

List of positive integer factors of 4075 that divides 4075 without a remainder.

1, 5, 25, 163, 815

Step-4: Factors of 4080

List of positive integer factors of 4080 that divides 4075 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4075 and 4080. The biggest common factor number is the GCF number.
So the greatest common factor 4075 and 4080 is 5.

Also check out the Least Common Multiple of 4075 and 4080