What is the Greatest Common Factor of 26180 and 26188?

Greatest common factor (GCF) of 26180 and 26188 is 4.

GCF(26180,26188) = 4

We will now calculate the prime factors of 26180 and 26188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26180 and 26188.

How to find the GCF of 26180 and 26188?

We will first find the prime factorization of 26180 and 26188. After we will calculate the factors of 26180 and 26188 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 26188

Prime factors of 26188 are 2, 6547. Prime factorization of 26188 in exponential form is:

26188 = 2² × 6547¹

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 26188

List of positive integer factors of 26188 that divides 26180 without a remainder.

1, 2, 4, 6547, 13094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26180 and 26188. The biggest common factor number is the GCF number.
So the greatest common factor 26180 and 26188 is 4.

Also check out the Least Common Multiple of 26180 and 26188