What is the Greatest Common Factor of 26175 and 26187?

Greatest common factor (GCF) of 26175 and 26187 is 3.

GCF(26175,26187) = 3

We will now calculate the prime factors of 26175 and 26187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26175 and 26187.

How to find the GCF of 26175 and 26187?

We will first find the prime factorization of 26175 and 26187. After we will calculate the factors of 26175 and 26187 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 26187

Prime factors of 26187 are 3, 7, 29, 43. Prime factorization of 26187 in exponential form is:

26187 = 3¹ × 7¹ × 29¹ × 43¹

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 26187

List of positive integer factors of 26187 that divides 26175 without a remainder.

1, 3, 7, 21, 29, 43, 87, 129, 203, 301, 609, 903, 1247, 3741, 8729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26175 and 26187. The biggest common factor number is the GCF number.
So the greatest common factor 26175 and 26187 is 3.

Also check out the Least Common Multiple of 26175 and 26187