What is the Greatest Common Factor of 31834 and 31838?

Greatest common factor (GCF) of 31834 and 31838 is 2.

GCF(31834,31838) = 2

We will now calculate the prime factors of 31834 and 31838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31834 and 31838.

How to find the GCF of 31834 and 31838?

We will first find the prime factorization of 31834 and 31838. After we will calculate the factors of 31834 and 31838 and find the biggest common factor number .

Step-1: Prime Factorization of 31834

Prime factors of 31834 are 2, 11, 1447. Prime factorization of 31834 in exponential form is:

31834 = 2¹ × 11¹ × 1447¹

Step-2: Prime Factorization of 31838

Prime factors of 31838 are 2, 15919. Prime factorization of 31838 in exponential form is:

31838 = 2¹ × 15919¹

Step-3: Factors of 31834

List of positive integer factors of 31834 that divides 31834 without a remainder.

1, 2, 11, 22, 1447, 2894, 15917

Step-4: Factors of 31838

List of positive integer factors of 31838 that divides 31834 without a remainder.

1, 2, 15919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31834 and 31838. The biggest common factor number is the GCF number.
So the greatest common factor 31834 and 31838 is 2.

Also check out the Least Common Multiple of 31834 and 31838