What is the Greatest Common Factor of 31243 and 31253?

Greatest common factor (GCF) of 31243 and 31253 is 1.

GCF(31243,31253) = 1

We will now calculate the prime factors of 31243 and 31253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31243 and 31253.

How to find the GCF of 31243 and 31253?

We will first find the prime factorization of 31243 and 31253. After we will calculate the factors of 31243 and 31253 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 31253

Prime factors of 31253 are 31253. Prime factorization of 31253 in exponential form is:

31253 = 31253¹

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 31253

List of positive integer factors of 31253 that divides 31243 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31243 and 31253. The biggest common factor number is the GCF number.
So the greatest common factor 31243 and 31253 is 1.

Also check out the Least Common Multiple of 31243 and 31253