What is the Greatest Common Factor of 12435 and 12440?

Greatest common factor (GCF) of 12435 and 12440 is 5.

GCF(12435,12440) = 5

We will now calculate the prime factors of 12435 and 12440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12435 and 12440.

How to find the GCF of 12435 and 12440?

We will first find the prime factorization of 12435 and 12440. After we will calculate the factors of 12435 and 12440 and find the biggest common factor number .

Step-1: Prime Factorization of 12435

Prime factors of 12435 are 3, 5, 829. Prime factorization of 12435 in exponential form is:

12435 = 3¹ × 5¹ × 829¹

Step-2: 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-3: Factors of 12435

List of positive integer factors of 12435 that divides 12435 without a remainder.

1, 3, 5, 15, 829, 2487, 4145

Step-4: Factors of 12440

List of positive integer factors of 12440 that divides 12435 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12435 and 12440. The biggest common factor number is the GCF number.
So the greatest common factor 12435 and 12440 is 5.

Also check out the Least Common Multiple of 12435 and 12440