What is the Greatest Common Factor of 26169 and 26180?

Greatest common factor (GCF) of 26169 and 26180 is 11.

GCF(26169,26180) = 11

We will now calculate the prime factors of 26169 and 26180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26169 and 26180.

How to find the GCF of 26169 and 26180?

We will first find the prime factorization of 26169 and 26180. After we will calculate the factors of 26169 and 26180 and find the biggest common factor number .

Step-1: Prime Factorization of 26169

Prime factors of 26169 are 3, 11, 13, 61. Prime factorization of 26169 in exponential form is:

26169 = 3¹ × 11¹ × 13¹ × 61¹

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 26169

List of positive integer factors of 26169 that divides 26169 without a remainder.

1, 3, 11, 13, 33, 39, 61, 143, 183, 429, 671, 793, 2013, 2379, 8723

Step-4: Factors of 26180

List of positive integer factors of 26180 that divides 26169 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 26169 and 26180. The biggest common factor number is the GCF number.
So the greatest common factor 26169 and 26180 is 11.

Also check out the Least Common Multiple of 26169 and 26180