What is the Greatest Common Factor of 31405 and 31413?

Greatest common factor (GCF) of 31405 and 31413 is 1.

GCF(31405,31413) = 1

We will now calculate the prime factors of 31405 and 31413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31405 and 31413.

How to find the GCF of 31405 and 31413?

We will first find the prime factorization of 31405 and 31413. After we will calculate the factors of 31405 and 31413 and find the biggest common factor number .

Step-1: Prime Factorization of 31405

Prime factors of 31405 are 5, 11, 571. Prime factorization of 31405 in exponential form is:

31405 = 5¹ × 11¹ × 571¹

Step-2: Prime Factorization of 31413

Prime factors of 31413 are 3, 37, 283. Prime factorization of 31413 in exponential form is:

31413 = 3¹ × 37¹ × 283¹

Step-3: Factors of 31405

List of positive integer factors of 31405 that divides 31405 without a remainder.

1, 5, 11, 55, 571, 2855, 6281

Step-4: Factors of 31413

List of positive integer factors of 31413 that divides 31405 without a remainder.

1, 3, 37, 111, 283, 849, 10471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31405 and 31413. The biggest common factor number is the GCF number.
So the greatest common factor 31405 and 31413 is 1.

Also check out the Least Common Multiple of 31405 and 31413