What is the Greatest Common Factor of 8040 and 8055?

Greatest common factor (GCF) of 8040 and 8055 is 15.

GCF(8040,8055) = 15

We will now calculate the prime factors of 8040 and 8055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8040 and 8055.

How to find the GCF of 8040 and 8055?

We will first find the prime factorization of 8040 and 8055. After we will calculate the factors of 8040 and 8055 and find the biggest common factor number .

Step-1: Prime Factorization of 8040

Prime factors of 8040 are 2, 3, 5, 67. Prime factorization of 8040 in exponential form is:

8040 = 2³ × 3¹ × 5¹ × 67¹

Step-2: Prime Factorization of 8055

Prime factors of 8055 are 3, 5, 179. Prime factorization of 8055 in exponential form is:

8055 = 3² × 5¹ × 179¹

Step-3: Factors of 8040

List of positive integer factors of 8040 that divides 8040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020

Step-4: Factors of 8055

List of positive integer factors of 8055 that divides 8040 without a remainder.

1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8040 and 8055. The biggest common factor number is the GCF number.
So the greatest common factor 8040 and 8055 is 15.

Also check out the Least Common Multiple of 8040 and 8055