What is the Greatest Common Factor of 31270 and 31286?

Greatest common factor (GCF) of 31270 and 31286 is 2.

GCF(31270,31286) = 2

We will now calculate the prime factors of 31270 and 31286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31270 and 31286.

How to find the GCF of 31270 and 31286?

We will first find the prime factorization of 31270 and 31286. After we will calculate the factors of 31270 and 31286 and find the biggest common factor number .

Step-1: Prime Factorization of 31270

Prime factors of 31270 are 2, 5, 53, 59. Prime factorization of 31270 in exponential form is:

31270 = 2¹ × 5¹ × 53¹ × 59¹

Step-2: Prime Factorization of 31286

Prime factors of 31286 are 2, 15643. Prime factorization of 31286 in exponential form is:

31286 = 2¹ × 15643¹

Step-3: Factors of 31270

List of positive integer factors of 31270 that divides 31270 without a remainder.

1, 2, 5, 10, 53, 59, 106, 118, 265, 295, 530, 590, 3127, 6254, 15635

Step-4: Factors of 31286

List of positive integer factors of 31286 that divides 31270 without a remainder.

1, 2, 15643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31270 and 31286. The biggest common factor number is the GCF number.
So the greatest common factor 31270 and 31286 is 2.

Also check out the Least Common Multiple of 31270 and 31286