What is the Greatest Common Factor of 26180 and 26185?

Greatest common factor (GCF) of 26180 and 26185 is 5.

GCF(26180,26185) = 5

We will now calculate the prime factors of 26180 and 26185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26180 and 26185.

How to find the GCF of 26180 and 26185?

We will first find the prime factorization of 26180 and 26185. After we will calculate the factors of 26180 and 26185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26185

Prime factors of 26185 are 5, 5237. Prime factorization of 26185 in exponential form is:

26185 = 5¹ × 5237¹

Step-3: Factors of 26180

List of positive integer factors of 26180 that divides 26180 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

Step-4: Factors of 26185

List of positive integer factors of 26185 that divides 26180 without a remainder.

1, 5, 5237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26180 and 26185. The biggest common factor number is the GCF number.
So the greatest common factor 26180 and 26185 is 5.

Also check out the Least Common Multiple of 26180 and 26185