What is the Greatest Common Factor of 31243 and 31256?

Greatest common factor (GCF) of 31243 and 31256 is 1.

GCF(31243,31256) = 1

We will now calculate the prime factors of 31243 and 31256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31243 and 31256.

How to find the GCF of 31243 and 31256?

We will first find the prime factorization of 31243 and 31256. After we will calculate the factors of 31243 and 31256 and find the biggest common factor number .

Step-1: Prime Factorization of 31243

Prime factors of 31243 are 157, 199. Prime factorization of 31243 in exponential form is:

31243 = 157¹ × 199¹

Step-2: Prime Factorization of 31256

Prime factors of 31256 are 2, 3907. Prime factorization of 31256 in exponential form is:

31256 = 2³ × 3907¹

Step-3: Factors of 31243

List of positive integer factors of 31243 that divides 31243 without a remainder.

1, 157, 199

Step-4: Factors of 31256

List of positive integer factors of 31256 that divides 31243 without a remainder.

1, 2, 4, 8, 3907, 7814, 15628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31243 and 31256. The biggest common factor number is the GCF number.
So the greatest common factor 31243 and 31256 is 1.

Also check out the Least Common Multiple of 31243 and 31256