What is the Greatest Common Factor of 26175 and 26195?

Greatest common factor (GCF) of 26175 and 26195 is 5.

GCF(26175,26195) = 5

We will now calculate the prime factors of 26175 and 26195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26175 and 26195.

How to find the GCF of 26175 and 26195?

We will first find the prime factorization of 26175 and 26195. After we will calculate the factors of 26175 and 26195 and find the biggest common factor number .

Step-1: Prime Factorization of 26175

Prime factors of 26175 are 3, 5, 349. Prime factorization of 26175 in exponential form is:

26175 = 3¹ × 5² × 349¹

Step-2: 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-3: Factors of 26175

List of positive integer factors of 26175 that divides 26175 without a remainder.

1, 3, 5, 15, 25, 75, 349, 1047, 1745, 5235, 8725

Step-4: Factors of 26195

List of positive integer factors of 26195 that divides 26175 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26175 and 26195. The biggest common factor number is the GCF number.
So the greatest common factor 26175 and 26195 is 5.

Also check out the Least Common Multiple of 26175 and 26195