What is the Greatest Common Factor of 8016 and 8025?

Greatest common factor (GCF) of 8016 and 8025 is 3.

GCF(8016,8025) = 3

We will now calculate the prime factors of 8016 and 8025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8016 and 8025.

How to find the GCF of 8016 and 8025?

We will first find the prime factorization of 8016 and 8025. After we will calculate the factors of 8016 and 8025 and find the biggest common factor number .

Step-1: Prime Factorization of 8016

Prime factors of 8016 are 2, 3, 167. Prime factorization of 8016 in exponential form is:

8016 = 2⁴ × 3¹ × 167¹

Step-2: 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-3: Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008

Step-4: Factors of 8025

List of positive integer factors of 8025 that divides 8016 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8016 and 8025. The biggest common factor number is the GCF number.
So the greatest common factor 8016 and 8025 is 3.

Also check out the Least Common Multiple of 8016 and 8025