What is the Greatest Common Factor of 26180 and 26192?

Greatest common factor (GCF) of 26180 and 26192 is 4.

GCF(26180,26192) = 4

We will now calculate the prime factors of 26180 and 26192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26180 and 26192.

How to find the GCF of 26180 and 26192?

We will first find the prime factorization of 26180 and 26192. After we will calculate the factors of 26180 and 26192 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 26192

Prime factors of 26192 are 2, 1637. Prime factorization of 26192 in exponential form is:

26192 = 2⁴ × 1637¹

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 26192

List of positive integer factors of 26192 that divides 26180 without a remainder.

1, 2, 4, 8, 16, 1637, 3274, 6548, 13096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26180 and 26192. The biggest common factor number is the GCF number.
So the greatest common factor 26180 and 26192 is 4.

Also check out the Least Common Multiple of 26180 and 26192