What is the Greatest Common Factor of 31407 and 31411?

Greatest common factor (GCF) of 31407 and 31411 is 1.

GCF(31407,31411) = 1

We will now calculate the prime factors of 31407 and 31411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31407 and 31411.

How to find the GCF of 31407 and 31411?

We will first find the prime factorization of 31407 and 31411. After we will calculate the factors of 31407 and 31411 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31411

Prime factors of 31411 are 101, 311. Prime factorization of 31411 in exponential form is:

31411 = 101¹ × 311¹

Step-3: Factors of 31407

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

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

Step-4: Factors of 31411

List of positive integer factors of 31411 that divides 31407 without a remainder.

1, 101, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31407 and 31411. The biggest common factor number is the GCF number.
So the greatest common factor 31407 and 31411 is 1.

Also check out the Least Common Multiple of 31407 and 31411