What is the Greatest Common Factor of 31420 and 31439?

Greatest common factor (GCF) of 31420 and 31439 is 1.

GCF(31420,31439) = 1

We will now calculate the prime factors of 31420 and 31439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31420 and 31439.

How to find the GCF of 31420 and 31439?

We will first find the prime factorization of 31420 and 31439. After we will calculate the factors of 31420 and 31439 and find the biggest common factor number .

Step-1: Prime Factorization of 31420

Prime factors of 31420 are 2, 5, 1571. Prime factorization of 31420 in exponential form is:

31420 = 2² × 5¹ × 1571¹

Step-2: Prime Factorization of 31439

Prime factors of 31439 are 149, 211. Prime factorization of 31439 in exponential form is:

31439 = 149¹ × 211¹

Step-3: Factors of 31420

List of positive integer factors of 31420 that divides 31420 without a remainder.

1, 2, 4, 5, 10, 20, 1571, 3142, 6284, 7855, 15710

Step-4: Factors of 31439

List of positive integer factors of 31439 that divides 31420 without a remainder.

1, 149, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31420 and 31439. The biggest common factor number is the GCF number.
So the greatest common factor 31420 and 31439 is 1.

Also check out the Least Common Multiple of 31420 and 31439