What is the Greatest Common Factor of 26165 and 26180?

Greatest common factor (GCF) of 26165 and 26180 is 5.

GCF(26165,26180) = 5

We will now calculate the prime factors of 26165 and 26180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26165 and 26180.

How to find the GCF of 26165 and 26180?

We will first find the prime factorization of 26165 and 26180. After we will calculate the factors of 26165 and 26180 and find the biggest common factor number .

Step-1: Prime Factorization of 26165

Prime factors of 26165 are 5, 5233. Prime factorization of 26165 in exponential form is:

26165 = 5¹ × 5233¹

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 26165

List of positive integer factors of 26165 that divides 26165 without a remainder.

1, 5, 5233

Step-4: Factors of 26180

List of positive integer factors of 26180 that divides 26165 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 26165 and 26180. The biggest common factor number is the GCF number.
So the greatest common factor 26165 and 26180 is 5.

Also check out the Least Common Multiple of 26165 and 26180