What is the Greatest Common Factor of 26025 and 26035?

Greatest common factor (GCF) of 26025 and 26035 is 5.

GCF(26025,26035) = 5

We will now calculate the prime factors of 26025 and 26035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26025 and 26035.

How to find the GCF of 26025 and 26035?

We will first find the prime factorization of 26025 and 26035. After we will calculate the factors of 26025 and 26035 and find the biggest common factor number .

Step-1: Prime Factorization of 26025

Prime factors of 26025 are 3, 5, 347. Prime factorization of 26025 in exponential form is:

26025 = 3¹ × 5² × 347¹

Step-2: Prime Factorization of 26035

Prime factors of 26035 are 5, 41, 127. Prime factorization of 26035 in exponential form is:

26035 = 5¹ × 41¹ × 127¹

Step-3: Factors of 26025

List of positive integer factors of 26025 that divides 26025 without a remainder.

1, 3, 5, 15, 25, 75, 347, 1041, 1735, 5205, 8675

Step-4: Factors of 26035

List of positive integer factors of 26035 that divides 26025 without a remainder.

1, 5, 41, 127, 205, 635, 5207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26025 and 26035. The biggest common factor number is the GCF number.
So the greatest common factor 26025 and 26035 is 5.

Also check out the Least Common Multiple of 26025 and 26035