What is the Greatest Common Factor of 26175 and 26180?

Greatest common factor (GCF) of 26175 and 26180 is 5.

GCF(26175,26180) = 5

We will now calculate the prime factors of 26175 and 26180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26175 and 26180.

How to find the GCF of 26175 and 26180?

We will first find the prime factorization of 26175 and 26180. After we will calculate the factors of 26175 and 26180 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 26180

Prime factors of 26180 are 2, 5, 7, 11, 17. Prime factorization of 26180 in exponential form is:

26180 = 2² × 5¹ × 7¹ × 11¹ × 17¹

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 26180

List of positive integer factors of 26180 that divides 26175 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 17, 20, 22, 28, 34, 35, 44, 55, 68, 70, 77, 85, 110, 119, 140, 154, 170, 187, 220, 238, 308, 340, 374, 385, 476, 595, 748, 770, 935, 1190, 1309, 1540, 1870, 2380, 2618, 3740, 5236, 6545, 13090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26175 and 26180. The biggest common factor number is the GCF number.
So the greatest common factor 26175 and 26180 is 5.

Also check out the Least Common Multiple of 26175 and 26180