What is the Greatest Common Factor of 31056 and 31071?

Greatest common factor (GCF) of 31056 and 31071 is 3.

GCF(31056,31071) = 3

We will now calculate the prime factors of 31056 and 31071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31056 and 31071.

How to find the GCF of 31056 and 31071?

We will first find the prime factorization of 31056 and 31071. After we will calculate the factors of 31056 and 31071 and find the biggest common factor number .

Step-1: Prime Factorization of 31056

Prime factors of 31056 are 2, 3, 647. Prime factorization of 31056 in exponential form is:

31056 = 2⁴ × 3¹ × 647¹

Step-2: Prime Factorization of 31071

Prime factors of 31071 are 3, 10357. Prime factorization of 31071 in exponential form is:

31071 = 3¹ × 10357¹

Step-3: Factors of 31056

List of positive integer factors of 31056 that divides 31056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 647, 1294, 1941, 2588, 3882, 5176, 7764, 10352, 15528

Step-4: Factors of 31071

List of positive integer factors of 31071 that divides 31056 without a remainder.

1, 3, 10357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31056 and 31071. The biggest common factor number is the GCF number.
So the greatest common factor 31056 and 31071 is 3.

Also check out the Least Common Multiple of 31056 and 31071