What is the Greatest Common Factor of 31390 and 31404?

Greatest common factor (GCF) of 31390 and 31404 is 2.

GCF(31390,31404) = 2

We will now calculate the prime factors of 31390 and 31404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31390 and 31404.

How to find the GCF of 31390 and 31404?

We will first find the prime factorization of 31390 and 31404. After we will calculate the factors of 31390 and 31404 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 31404

Prime factors of 31404 are 2, 3, 2617. Prime factorization of 31404 in exponential form is:

31404 = 2² × 3¹ × 2617¹

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 31404

List of positive integer factors of 31404 that divides 31390 without a remainder.

1, 2, 3, 4, 6, 12, 2617, 5234, 7851, 10468, 15702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31390 and 31404. The biggest common factor number is the GCF number.
So the greatest common factor 31390 and 31404 is 2.

Also check out the Least Common Multiple of 31390 and 31404