What is the Greatest Common Factor of 26065 and 26078?

Greatest common factor (GCF) of 26065 and 26078 is 13.

GCF(26065,26078) = 13

We will now calculate the prime factors of 26065 and 26078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26065 and 26078.

How to find the GCF of 26065 and 26078?

We will first find the prime factorization of 26065 and 26078. After we will calculate the factors of 26065 and 26078 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 26078

Prime factors of 26078 are 2, 13, 17, 59. Prime factorization of 26078 in exponential form is:

26078 = 2¹ × 13¹ × 17¹ × 59¹

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 26078

List of positive integer factors of 26078 that divides 26065 without a remainder.

1, 2, 13, 17, 26, 34, 59, 118, 221, 442, 767, 1003, 1534, 2006, 13039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26065 and 26078. The biggest common factor number is the GCF number.
So the greatest common factor 26065 and 26078 is 13.

Also check out the Least Common Multiple of 26065 and 26078