What is the Greatest Common Factor of 26025 and 26045?

Greatest common factor (GCF) of 26025 and 26045 is 5.

GCF(26025,26045) = 5

We will now calculate the prime factors of 26025 and 26045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26025 and 26045.

How to find the GCF of 26025 and 26045?

We will first find the prime factorization of 26025 and 26045. After we will calculate the factors of 26025 and 26045 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 26045

Prime factors of 26045 are 5, 5209. Prime factorization of 26045 in exponential form is:

26045 = 5¹ × 5209¹

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 26045

List of positive integer factors of 26045 that divides 26025 without a remainder.

1, 5, 5209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26025 and 26045. The biggest common factor number is the GCF number.
So the greatest common factor 26025 and 26045 is 5.

Also check out the Least Common Multiple of 26025 and 26045