What is the Greatest Common Factor of 26440 and 26450?

Greatest common factor (GCF) of 26440 and 26450 is 10.

GCF(26440,26450) = 10

We will now calculate the prime factors of 26440 and 26450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26440 and 26450.

How to find the GCF of 26440 and 26450?

We will first find the prime factorization of 26440 and 26450. After we will calculate the factors of 26440 and 26450 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 26450

Prime factors of 26450 are 2, 5, 23. Prime factorization of 26450 in exponential form is:

26450 = 2¹ × 5² × 23²

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 26450

List of positive integer factors of 26450 that divides 26440 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 529, 575, 1058, 1150, 2645, 5290, 13225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26440 and 26450. The biggest common factor number is the GCF number.
So the greatest common factor 26440 and 26450 is 10.

Also check out the Least Common Multiple of 26440 and 26450