What is the Greatest Common Factor of 12440 and 12455?

Greatest common factor (GCF) of 12440 and 12455 is 5.

GCF(12440,12455) = 5

We will now calculate the prime factors of 12440 and 12455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12440 and 12455.

How to find the GCF of 12440 and 12455?

We will first find the prime factorization of 12440 and 12455. After we will calculate the factors of 12440 and 12455 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 12455

Prime factors of 12455 are 5, 47, 53. Prime factorization of 12455 in exponential form is:

12455 = 5¹ × 47¹ × 53¹

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 12455

List of positive integer factors of 12455 that divides 12440 without a remainder.

1, 5, 47, 53, 235, 265, 2491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12440 and 12455. The biggest common factor number is the GCF number.
So the greatest common factor 12440 and 12455 is 5.

Also check out the Least Common Multiple of 12440 and 12455