What is the Greatest Common Factor of 31062 and 31066?

Greatest common factor (GCF) of 31062 and 31066 is 2.

GCF(31062,31066) = 2

We will now calculate the prime factors of 31062 and 31066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31062 and 31066.

How to find the GCF of 31062 and 31066?

We will first find the prime factorization of 31062 and 31066. After we will calculate the factors of 31062 and 31066 and find the biggest common factor number .

Step-1: Prime Factorization of 31062

Prime factors of 31062 are 2, 3, 31, 167. Prime factorization of 31062 in exponential form is:

31062 = 2¹ × 3¹ × 31¹ × 167¹

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 31062

List of positive integer factors of 31062 that divides 31062 without a remainder.

1, 2, 3, 6, 31, 62, 93, 167, 186, 334, 501, 1002, 5177, 10354, 15531

Step-4: Factors of 31066

List of positive integer factors of 31066 that divides 31062 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 31062 and 31066. The biggest common factor number is the GCF number.
So the greatest common factor 31062 and 31066 is 2.

Also check out the Least Common Multiple of 31062 and 31066