What is the Greatest Common Factor of 31048 and 31066?

Greatest common factor (GCF) of 31048 and 31066 is 2.

GCF(31048,31066) = 2

We will now calculate the prime factors of 31048 and 31066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31048 and 31066.

How to find the GCF of 31048 and 31066?

We will first find the prime factorization of 31048 and 31066. After we will calculate the factors of 31048 and 31066 and find the biggest common factor number .

Step-1: Prime Factorization of 31048

Prime factors of 31048 are 2, 3881. Prime factorization of 31048 in exponential form is:

31048 = 2³ × 3881¹

Step-2: Prime Factorization of 31066

Prime factors of 31066 are 2, 7, 317. Prime factorization of 31066 in exponential form is:

31066 = 2¹ × 7² × 317¹

Step-3: Factors of 31048

List of positive integer factors of 31048 that divides 31048 without a remainder.

1, 2, 4, 8, 3881, 7762, 15524

Step-4: Factors of 31066

List of positive integer factors of 31066 that divides 31048 without a remainder.

1, 2, 7, 14, 49, 98, 317, 634, 2219, 4438, 15533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31048 and 31066. The biggest common factor number is the GCF number.
So the greatest common factor 31048 and 31066 is 2.

Also check out the Least Common Multiple of 31048 and 31066