What is the Greatest Common Factor of 26065 and 26075?

Greatest common factor (GCF) of 26065 and 26075 is 5.

GCF(26065,26075) = 5

We will now calculate the prime factors of 26065 and 26075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26065 and 26075.

How to find the GCF of 26065 and 26075?

We will first find the prime factorization of 26065 and 26075. After we will calculate the factors of 26065 and 26075 and find the biggest common factor number .

Step-1: Prime Factorization of 26065

Prime factors of 26065 are 5, 13, 401. Prime factorization of 26065 in exponential form is:

26065 = 5¹ × 13¹ × 401¹

Step-2: Prime Factorization of 26075

Prime factors of 26075 are 5, 7, 149. Prime factorization of 26075 in exponential form is:

26075 = 5² × 7¹ × 149¹

Step-3: Factors of 26065

List of positive integer factors of 26065 that divides 26065 without a remainder.

1, 5, 13, 65, 401, 2005, 5213

Step-4: Factors of 26075

List of positive integer factors of 26075 that divides 26065 without a remainder.

1, 5, 7, 25, 35, 149, 175, 745, 1043, 3725, 5215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26065 and 26075. The biggest common factor number is the GCF number.
So the greatest common factor 26065 and 26075 is 5.

Also check out the Least Common Multiple of 26065 and 26075