What is the Greatest Common Factor of 12440 and 12454?

Greatest common factor (GCF) of 12440 and 12454 is 2.

GCF(12440,12454) = 2

We will now calculate the prime factors of 12440 and 12454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12440 and 12454.

How to find the GCF of 12440 and 12454?

We will first find the prime factorization of 12440 and 12454. After we will calculate the factors of 12440 and 12454 and find the biggest common factor number .

Step-1: Prime Factorization of 12440

Prime factors of 12440 are 2, 5, 311. Prime factorization of 12440 in exponential form is:

12440 = 2³ × 5¹ × 311¹

Step-2: Prime Factorization of 12454

Prime factors of 12454 are 2, 13, 479. Prime factorization of 12454 in exponential form is:

12454 = 2¹ × 13¹ × 479¹

Step-3: Factors of 12440

List of positive integer factors of 12440 that divides 12440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 311, 622, 1244, 1555, 2488, 3110, 6220

Step-4: Factors of 12454

List of positive integer factors of 12454 that divides 12440 without a remainder.

1, 2, 13, 26, 479, 958, 6227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12440 and 12454. The biggest common factor number is the GCF number.
So the greatest common factor 12440 and 12454 is 2.

Also check out the Least Common Multiple of 12440 and 12454