What is the Greatest Common Factor of 31414 and 31432?

Greatest common factor (GCF) of 31414 and 31432 is 2.

GCF(31414,31432) = 2

We will now calculate the prime factors of 31414 and 31432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31414 and 31432.

How to find the GCF of 31414 and 31432?

We will first find the prime factorization of 31414 and 31432. After we will calculate the factors of 31414 and 31432 and find the biggest common factor number .

Step-1: Prime Factorization of 31414

Prime factors of 31414 are 2, 113, 139. Prime factorization of 31414 in exponential form is:

31414 = 2¹ × 113¹ × 139¹

Step-2: Prime Factorization of 31432

Prime factors of 31432 are 2, 3929. Prime factorization of 31432 in exponential form is:

31432 = 2³ × 3929¹

Step-3: Factors of 31414

List of positive integer factors of 31414 that divides 31414 without a remainder.

1, 2, 113, 139, 226, 278, 15707

Step-4: Factors of 31432

List of positive integer factors of 31432 that divides 31414 without a remainder.

1, 2, 4, 8, 3929, 7858, 15716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31414 and 31432. The biggest common factor number is the GCF number.
So the greatest common factor 31414 and 31432 is 2.

Also check out the Least Common Multiple of 31414 and 31432