What is the Greatest Common Factor of 31394 and 31405?

Greatest common factor (GCF) of 31394 and 31405 is 11.

GCF(31394,31405) = 11

We will now calculate the prime factors of 31394 and 31405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31394 and 31405.

How to find the GCF of 31394 and 31405?

We will first find the prime factorization of 31394 and 31405. After we will calculate the factors of 31394 and 31405 and find the biggest common factor number .

Step-1: Prime Factorization of 31394

Prime factors of 31394 are 2, 11, 1427. Prime factorization of 31394 in exponential form is:

31394 = 2¹ × 11¹ × 1427¹

Step-2: Prime Factorization of 31405

Prime factors of 31405 are 5, 11, 571. Prime factorization of 31405 in exponential form is:

31405 = 5¹ × 11¹ × 571¹

Step-3: Factors of 31394

List of positive integer factors of 31394 that divides 31394 without a remainder.

1, 2, 11, 22, 1427, 2854, 15697

Step-4: Factors of 31405

List of positive integer factors of 31405 that divides 31394 without a remainder.

1, 5, 11, 55, 571, 2855, 6281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31394 and 31405. The biggest common factor number is the GCF number.
So the greatest common factor 31394 and 31405 is 11.

Also check out the Least Common Multiple of 31394 and 31405