What is the Greatest Common Factor of 26427 and 26442?

Greatest common factor (GCF) of 26427 and 26442 is 3.

GCF(26427,26442) = 3

We will now calculate the prime factors of 26427 and 26442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26427 and 26442.

How to find the GCF of 26427 and 26442?

We will first find the prime factorization of 26427 and 26442. After we will calculate the factors of 26427 and 26442 and find the biggest common factor number .

Step-1: Prime Factorization of 26427

Prime factors of 26427 are 3, 23, 383. Prime factorization of 26427 in exponential form is:

26427 = 3¹ × 23¹ × 383¹

Step-2: Prime Factorization of 26442

Prime factors of 26442 are 2, 3, 13, 113. Prime factorization of 26442 in exponential form is:

26442 = 2¹ × 3² × 13¹ × 113¹

Step-3: Factors of 26427

List of positive integer factors of 26427 that divides 26427 without a remainder.

1, 3, 23, 69, 383, 1149, 8809

Step-4: Factors of 26442

List of positive integer factors of 26442 that divides 26427 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 113, 117, 226, 234, 339, 678, 1017, 1469, 2034, 2938, 4407, 8814, 13221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26427 and 26442. The biggest common factor number is the GCF number.
So the greatest common factor 26427 and 26442 is 3.

Also check out the Least Common Multiple of 26427 and 26442