What is the Greatest Common Factor of 26160 and 26175?

Greatest common factor (GCF) of 26160 and 26175 is 15.

GCF(26160,26175) = 15

We will now calculate the prime factors of 26160 and 26175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26160 and 26175.

How to find the GCF of 26160 and 26175?

We will first find the prime factorization of 26160 and 26175. After we will calculate the factors of 26160 and 26175 and find the biggest common factor number .

Step-1: Prime Factorization of 26160

Prime factors of 26160 are 2, 3, 5, 109. Prime factorization of 26160 in exponential form is:

26160 = 2⁴ × 3¹ × 5¹ × 109¹

Step-2: 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-3: Factors of 26160

List of positive integer factors of 26160 that divides 26160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 109, 120, 218, 240, 327, 436, 545, 654, 872, 1090, 1308, 1635, 1744, 2180, 2616, 3270, 4360, 5232, 6540, 8720, 13080

Step-4: Factors of 26175

List of positive integer factors of 26175 that divides 26160 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26160 and 26175. The biggest common factor number is the GCF number.
So the greatest common factor 26160 and 26175 is 15.

Also check out the Least Common Multiple of 26160 and 26175