What is the Greatest Common Factor of 31389 and 31407?

Greatest common factor (GCF) of 31389 and 31407 is 3.

GCF(31389,31407) = 3

We will now calculate the prime factors of 31389 and 31407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31389 and 31407.

How to find the GCF of 31389 and 31407?

We will first find the prime factorization of 31389 and 31407. After we will calculate the factors of 31389 and 31407 and find the biggest common factor number .

Step-1: Prime Factorization of 31389

Prime factors of 31389 are 3, 10463. Prime factorization of 31389 in exponential form is:

31389 = 3¹ × 10463¹

Step-2: Prime Factorization of 31407

Prime factors of 31407 are 3, 19, 29. Prime factorization of 31407 in exponential form is:

31407 = 3¹ × 19² × 29¹

Step-3: Factors of 31389

List of positive integer factors of 31389 that divides 31389 without a remainder.

1, 3, 10463

Step-4: Factors of 31407

List of positive integer factors of 31407 that divides 31389 without a remainder.

1, 3, 19, 29, 57, 87, 361, 551, 1083, 1653, 10469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31389 and 31407. The biggest common factor number is the GCF number.
So the greatest common factor 31389 and 31407 is 3.

Also check out the Least Common Multiple of 31389 and 31407