What is the Greatest Common Factor of 26065 and 26085?

Greatest common factor (GCF) of 26065 and 26085 is 5.

GCF(26065,26085) = 5

We will now calculate the prime factors of 26065 and 26085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26065 and 26085.

How to find the GCF of 26065 and 26085?

We will first find the prime factorization of 26065 and 26085. After we will calculate the factors of 26065 and 26085 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 26085

Prime factors of 26085 are 3, 5, 37, 47. Prime factorization of 26085 in exponential form is:

26085 = 3¹ × 5¹ × 37¹ × 47¹

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 26085

List of positive integer factors of 26085 that divides 26065 without a remainder.

1, 3, 5, 15, 37, 47, 111, 141, 185, 235, 555, 705, 1739, 5217, 8695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26065 and 26085. The biggest common factor number is the GCF number.
So the greatest common factor 26065 and 26085 is 5.

Also check out the Least Common Multiple of 26065 and 26085