What is the Greatest Common Factor of 8025 and 8040?

Greatest common factor (GCF) of 8025 and 8040 is 15.

GCF(8025,8040) = 15

We will now calculate the prime factors of 8025 and 8040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8025 and 8040.

How to find the GCF of 8025 and 8040?

We will first find the prime factorization of 8025 and 8040. After we will calculate the factors of 8025 and 8040 and find the biggest common factor number .

Step-1: Prime Factorization of 8025

Prime factors of 8025 are 3, 5, 107. Prime factorization of 8025 in exponential form is:

8025 = 3¹ × 5² × 107¹

Step-2: 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-3: Factors of 8025

List of positive integer factors of 8025 that divides 8025 without a remainder.

1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675

Step-4: Factors of 8040

List of positive integer factors of 8040 that divides 8025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8025 and 8040. The biggest common factor number is the GCF number.
So the greatest common factor 8025 and 8040 is 15.

Also check out the Least Common Multiple of 8025 and 8040