What is the Greatest Common Factor of 26180 and 26190?

Greatest common factor (GCF) of 26180 and 26190 is 10.

GCF(26180,26190) = 10

We will now calculate the prime factors of 26180 and 26190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26180 and 26190.

How to find the GCF of 26180 and 26190?

We will first find the prime factorization of 26180 and 26190. After we will calculate the factors of 26180 and 26190 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 26190

Prime factors of 26190 are 2, 3, 5, 97. Prime factorization of 26190 in exponential form is:

26190 = 2¹ × 3³ × 5¹ × 97¹

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 26190

List of positive integer factors of 26190 that divides 26180 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 97, 135, 194, 270, 291, 485, 582, 873, 970, 1455, 1746, 2619, 2910, 4365, 5238, 8730, 13095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26180 and 26190. The biggest common factor number is the GCF number.
So the greatest common factor 26180 and 26190 is 10.

Also check out the Least Common Multiple of 26180 and 26190