What is the Greatest Common Factor of 26175 and 26190?

Greatest common factor (GCF) of 26175 and 26190 is 15.

GCF(26175,26190) = 15

We will now calculate the prime factors of 26175 and 26190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26175 and 26190.

How to find the GCF of 26175 and 26190?

We will first find the prime factorization of 26175 and 26190. After we will calculate the factors of 26175 and 26190 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 26190

Prime factors of 26190 are 2, 3, 5, 97. Prime factorization of 26190 in exponential form is:

26190 = 2¹ × 3³ × 5¹ × 97¹

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 26190

List of positive integer factors of 26190 that divides 26175 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 97, 135, 194, 270, 291, 485, 582, 873, 970, 1455, 1746, 2619, 2910, 4365, 5238, 8730, 13095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26175 and 26190. The biggest common factor number is the GCF number.
So the greatest common factor 26175 and 26190 is 15.

Also check out the Least Common Multiple of 26175 and 26190