What is the Greatest Common Factor of 31390 and 31405?

Greatest common factor (GCF) of 31390 and 31405 is 5.

GCF(31390,31405) = 5

We will now calculate the prime factors of 31390 and 31405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31390 and 31405.

How to find the GCF of 31390 and 31405?

We will first find the prime factorization of 31390 and 31405. After we will calculate the factors of 31390 and 31405 and find the biggest common factor number .

Step-1: Prime Factorization of 31390

Prime factors of 31390 are 2, 5, 43, 73. Prime factorization of 31390 in exponential form is:

31390 = 2¹ × 5¹ × 43¹ × 73¹

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 31390

List of positive integer factors of 31390 that divides 31390 without a remainder.

1, 2, 5, 10, 43, 73, 86, 146, 215, 365, 430, 730, 3139, 6278, 15695

Step-4: Factors of 31405

List of positive integer factors of 31405 that divides 31390 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31390 and 31405. The biggest common factor number is the GCF number.
So the greatest common factor 31390 and 31405 is 5.

Also check out the Least Common Multiple of 31390 and 31405