What is the Greatest Common Factor of 31298 and 31310?

Greatest common factor (GCF) of 31298 and 31310 is 2.

GCF(31298,31310) = 2

We will now calculate the prime factors of 31298 and 31310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31298 and 31310.

How to find the GCF of 31298 and 31310?

We will first find the prime factorization of 31298 and 31310. After we will calculate the factors of 31298 and 31310 and find the biggest common factor number .

Step-1: Prime Factorization of 31298

Prime factors of 31298 are 2, 15649. Prime factorization of 31298 in exponential form is:

31298 = 2¹ × 15649¹

Step-2: Prime Factorization of 31310

Prime factors of 31310 are 2, 5, 31, 101. Prime factorization of 31310 in exponential form is:

31310 = 2¹ × 5¹ × 31¹ × 101¹

Step-3: Factors of 31298

List of positive integer factors of 31298 that divides 31298 without a remainder.

1, 2, 15649

Step-4: Factors of 31310

List of positive integer factors of 31310 that divides 31298 without a remainder.

1, 2, 5, 10, 31, 62, 101, 155, 202, 310, 505, 1010, 3131, 6262, 15655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31298 and 31310. The biggest common factor number is the GCF number.
So the greatest common factor 31298 and 31310 is 2.

Also check out the Least Common Multiple of 31298 and 31310