What is the Greatest Common Factor of 26180 and 26194?

Greatest common factor (GCF) of 26180 and 26194 is 14.

GCF(26180,26194) = 14

We will now calculate the prime factors of 26180 and 26194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26180 and 26194.

How to find the GCF of 26180 and 26194?

We will first find the prime factorization of 26180 and 26194. After we will calculate the factors of 26180 and 26194 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 26194

Prime factors of 26194 are 2, 7, 1871. Prime factorization of 26194 in exponential form is:

26194 = 2¹ × 7¹ × 1871¹

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 26194

List of positive integer factors of 26194 that divides 26180 without a remainder.

1, 2, 7, 14, 1871, 3742, 13097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26180 and 26194. The biggest common factor number is the GCF number.
So the greatest common factor 26180 and 26194 is 14.

Also check out the Least Common Multiple of 26180 and 26194