What is the Greatest Common Factor of 31056 and 31069?

Greatest common factor (GCF) of 31056 and 31069 is 1.

GCF(31056,31069) = 1

We will now calculate the prime factors of 31056 and 31069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31056 and 31069.

How to find the GCF of 31056 and 31069?

We will first find the prime factorization of 31056 and 31069. After we will calculate the factors of 31056 and 31069 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 31069

Prime factors of 31069 are 31069. Prime factorization of 31069 in exponential form is:

31069 = 31069¹

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 31069

List of positive integer factors of 31069 that divides 31056 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31056 and 31069. The biggest common factor number is the GCF number.
So the greatest common factor 31056 and 31069 is 1.

Also check out the Least Common Multiple of 31056 and 31069