What is the Greatest Common Factor of 31262 and 31271?

Greatest common factor (GCF) of 31262 and 31271 is 1.

GCF(31262,31271) = 1

We will now calculate the prime factors of 31262 and 31271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31262 and 31271.

How to find the GCF of 31262 and 31271?

We will first find the prime factorization of 31262 and 31271. After we will calculate the factors of 31262 and 31271 and find the biggest common factor number .

Step-1: Prime Factorization of 31262

Prime factors of 31262 are 2, 7, 11, 29. Prime factorization of 31262 in exponential form is:

31262 = 2¹ × 7² × 11¹ × 29¹

Step-2: Prime Factorization of 31271

Prime factors of 31271 are 31271. Prime factorization of 31271 in exponential form is:

31271 = 31271¹

Step-3: Factors of 31262

List of positive integer factors of 31262 that divides 31262 without a remainder.

1, 2, 7, 11, 14, 22, 29, 49, 58, 77, 98, 154, 203, 319, 406, 539, 638, 1078, 1421, 2233, 2842, 4466, 15631

Step-4: Factors of 31271

List of positive integer factors of 31271 that divides 31262 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31262 and 31271. The biggest common factor number is the GCF number.
So the greatest common factor 31262 and 31271 is 1.

Also check out the Least Common Multiple of 31262 and 31271