What is the Greatest Common Factor of 31401 and 31407?

Greatest common factor (GCF) of 31401 and 31407 is 3.

GCF(31401,31407) = 3

We will now calculate the prime factors of 31401 and 31407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31401 and 31407.

How to find the GCF of 31401 and 31407?

We will first find the prime factorization of 31401 and 31407. After we will calculate the factors of 31401 and 31407 and find the biggest common factor number .

Step-1: Prime Factorization of 31401

Prime factors of 31401 are 3, 1163. Prime factorization of 31401 in exponential form is:

31401 = 3³ × 1163¹

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 31401

List of positive integer factors of 31401 that divides 31401 without a remainder.

1, 3, 9, 27, 1163, 3489, 10467

Step-4: Factors of 31407

List of positive integer factors of 31407 that divides 31401 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 31401 and 31407. The biggest common factor number is the GCF number.
So the greatest common factor 31401 and 31407 is 3.

Also check out the Least Common Multiple of 31401 and 31407