What is the Greatest Common Factor of 26440 and 26454?

Greatest common factor (GCF) of 26440 and 26454 is 2.

GCF(26440,26454) = 2

We will now calculate the prime factors of 26440 and 26454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26440 and 26454.

How to find the GCF of 26440 and 26454?

We will first find the prime factorization of 26440 and 26454. After we will calculate the factors of 26440 and 26454 and find the biggest common factor number .

Step-1: Prime Factorization of 26440

Prime factors of 26440 are 2, 5, 661. Prime factorization of 26440 in exponential form is:

26440 = 2³ × 5¹ × 661¹

Step-2: Prime Factorization of 26454

Prime factors of 26454 are 2, 3, 4409. Prime factorization of 26454 in exponential form is:

26454 = 2¹ × 3¹ × 4409¹

Step-3: Factors of 26440

List of positive integer factors of 26440 that divides 26440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 661, 1322, 2644, 3305, 5288, 6610, 13220

Step-4: Factors of 26454

List of positive integer factors of 26454 that divides 26440 without a remainder.

1, 2, 3, 6, 4409, 8818, 13227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26440 and 26454. The biggest common factor number is the GCF number.
So the greatest common factor 26440 and 26454 is 2.

Also check out the Least Common Multiple of 26440 and 26454