What is the Greatest Common Factor of 26418 and 26436?

Greatest common factor (GCF) of 26418 and 26436 is 6.

GCF(26418,26436) = 6

We will now calculate the prime factors of 26418 and 26436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26418 and 26436.

How to find the GCF of 26418 and 26436?

We will first find the prime factorization of 26418 and 26436. After we will calculate the factors of 26418 and 26436 and find the biggest common factor number .

Step-1: Prime Factorization of 26418

Prime factors of 26418 are 2, 3, 7, 17, 37. Prime factorization of 26418 in exponential form is:

26418 = 2¹ × 3¹ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 26436

Prime factors of 26436 are 2, 3, 2203. Prime factorization of 26436 in exponential form is:

26436 = 2² × 3¹ × 2203¹

Step-3: Factors of 26418

List of positive integer factors of 26418 that divides 26418 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 37, 42, 51, 74, 102, 111, 119, 222, 238, 259, 357, 518, 629, 714, 777, 1258, 1554, 1887, 3774, 4403, 8806, 13209

Step-4: Factors of 26436

List of positive integer factors of 26436 that divides 26418 without a remainder.

1, 2, 3, 4, 6, 12, 2203, 4406, 6609, 8812, 13218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26418 and 26436. The biggest common factor number is the GCF number.
So the greatest common factor 26418 and 26436 is 6.

Also check out the Least Common Multiple of 26418 and 26436