What is the Greatest Common Factor of 31413 and 31427?

Greatest common factor (GCF) of 31413 and 31427 is 1.

GCF(31413,31427) = 1

We will now calculate the prime factors of 31413 and 31427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31413 and 31427.

How to find the GCF of 31413 and 31427?

We will first find the prime factorization of 31413 and 31427. After we will calculate the factors of 31413 and 31427 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31427

Prime factors of 31427 are 11, 2857. Prime factorization of 31427 in exponential form is:

31427 = 11¹ × 2857¹

Step-3: Factors of 31413

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

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

Step-4: Factors of 31427

List of positive integer factors of 31427 that divides 31413 without a remainder.

1, 11, 2857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31413 and 31427. The biggest common factor number is the GCF number.
So the greatest common factor 31413 and 31427 is 1.

Also check out the Least Common Multiple of 31413 and 31427