What is the Greatest Common Factor of 31408 and 31418?

Greatest common factor (GCF) of 31408 and 31418 is 2.

GCF(31408,31418) = 2

We will now calculate the prime factors of 31408 and 31418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31408 and 31418.

How to find the GCF of 31408 and 31418?

We will first find the prime factorization of 31408 and 31418. After we will calculate the factors of 31408 and 31418 and find the biggest common factor number .

Step-1: Prime Factorization of 31408

Prime factors of 31408 are 2, 13, 151. Prime factorization of 31408 in exponential form is:

31408 = 2⁴ × 13¹ × 151¹

Step-2: Prime Factorization of 31418

Prime factors of 31418 are 2, 23, 683. Prime factorization of 31418 in exponential form is:

31418 = 2¹ × 23¹ × 683¹

Step-3: Factors of 31408

List of positive integer factors of 31408 that divides 31408 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 151, 208, 302, 604, 1208, 1963, 2416, 3926, 7852, 15704

Step-4: Factors of 31418

List of positive integer factors of 31418 that divides 31408 without a remainder.

1, 2, 23, 46, 683, 1366, 15709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31408 and 31418. The biggest common factor number is the GCF number.
So the greatest common factor 31408 and 31418 is 2.

Also check out the Least Common Multiple of 31408 and 31418