What is the Greatest Common Factor of 26180 and 26187?

Greatest common factor (GCF) of 26180 and 26187 is 7.

GCF(26180,26187) = 7

We will now calculate the prime factors of 26180 and 26187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26180 and 26187.

How to find the GCF of 26180 and 26187?

We will first find the prime factorization of 26180 and 26187. After we will calculate the factors of 26180 and 26187 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 26187

Prime factors of 26187 are 3, 7, 29, 43. Prime factorization of 26187 in exponential form is:

26187 = 3¹ × 7¹ × 29¹ × 43¹

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 26187

List of positive integer factors of 26187 that divides 26180 without a remainder.

1, 3, 7, 21, 29, 43, 87, 129, 203, 301, 609, 903, 1247, 3741, 8729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26180 and 26187. The biggest common factor number is the GCF number.
So the greatest common factor 26180 and 26187 is 7.

Also check out the Least Common Multiple of 26180 and 26187