What is the Greatest Common Factor of 31066 and 31072?

Greatest common factor (GCF) of 31066 and 31072 is 2.

GCF(31066,31072) = 2

We will now calculate the prime factors of 31066 and 31072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31066 and 31072.

How to find the GCF of 31066 and 31072?

We will first find the prime factorization of 31066 and 31072. After we will calculate the factors of 31066 and 31072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31072

Prime factors of 31072 are 2, 971. Prime factorization of 31072 in exponential form is:

31072 = 2⁵ × 971¹

Step-3: Factors of 31066

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

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

Step-4: Factors of 31072

List of positive integer factors of 31072 that divides 31066 without a remainder.

1, 2, 4, 8, 16, 32, 971, 1942, 3884, 7768, 15536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31066 and 31072. The biggest common factor number is the GCF number.
So the greatest common factor 31066 and 31072 is 2.

Also check out the Least Common Multiple of 31066 and 31072