What is the Greatest Common Factor of 8025 and 8035?

Greatest common factor (GCF) of 8025 and 8035 is 5.

GCF(8025,8035) = 5

We will now calculate the prime factors of 8025 and 8035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8025 and 8035.

How to find the GCF of 8025 and 8035?

We will first find the prime factorization of 8025 and 8035. After we will calculate the factors of 8025 and 8035 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 8035

Prime factors of 8035 are 5, 1607. Prime factorization of 8035 in exponential form is:

8035 = 5¹ × 1607¹

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 8035

List of positive integer factors of 8035 that divides 8025 without a remainder.

1, 5, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8025 and 8035. The biggest common factor number is the GCF number.
So the greatest common factor 8025 and 8035 is 5.

Also check out the Least Common Multiple of 8025 and 8035