What is the Greatest Common Factor of 26195 and 26205?

Greatest common factor (GCF) of 26195 and 26205 is 5.

GCF(26195,26205) = 5

We will now calculate the prime factors of 26195 and 26205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26195 and 26205.

How to find the GCF of 26195 and 26205?

We will first find the prime factorization of 26195 and 26205. After we will calculate the factors of 26195 and 26205 and find the biggest common factor number .

Step-1: Prime Factorization of 26195

Prime factors of 26195 are 5, 13, 31. Prime factorization of 26195 in exponential form is:

26195 = 5¹ × 13² × 31¹

Step-2: Prime Factorization of 26205

Prime factors of 26205 are 3, 5, 1747. Prime factorization of 26205 in exponential form is:

26205 = 3¹ × 5¹ × 1747¹

Step-3: Factors of 26195

List of positive integer factors of 26195 that divides 26195 without a remainder.

1, 5, 13, 31, 65, 155, 169, 403, 845, 2015, 5239

Step-4: Factors of 26205

List of positive integer factors of 26205 that divides 26195 without a remainder.

1, 3, 5, 15, 1747, 5241, 8735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26195 and 26205. The biggest common factor number is the GCF number.
So the greatest common factor 26195 and 26205 is 5.

Also check out the Least Common Multiple of 26195 and 26205