What is the Greatest Common Factor of 31369 and 31387?

Greatest common factor (GCF) of 31369 and 31387 is 1.

GCF(31369,31387) = 1

We will now calculate the prime factors of 31369 and 31387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31369 and 31387.

How to find the GCF of 31369 and 31387?

We will first find the prime factorization of 31369 and 31387. After we will calculate the factors of 31369 and 31387 and find the biggest common factor number .

Step-1: Prime Factorization of 31369

Prime factors of 31369 are 13, 19, 127. Prime factorization of 31369 in exponential form is:

31369 = 13¹ × 19¹ × 127¹

Step-2: Prime Factorization of 31387

Prime factors of 31387 are 31387. Prime factorization of 31387 in exponential form is:

31387 = 31387¹

Step-3: Factors of 31369

List of positive integer factors of 31369 that divides 31369 without a remainder.

1, 13, 19, 127, 247, 1651, 2413

Step-4: Factors of 31387

List of positive integer factors of 31387 that divides 31369 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31369 and 31387. The biggest common factor number is the GCF number.
So the greatest common factor 31369 and 31387 is 1.

Also check out the Least Common Multiple of 31369 and 31387