What is the Greatest Common Factor of 31056 and 31076?

Greatest common factor (GCF) of 31056 and 31076 is 4.

GCF(31056,31076) = 4

We will now calculate the prime factors of 31056 and 31076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31056 and 31076.

How to find the GCF of 31056 and 31076?

We will first find the prime factorization of 31056 and 31076. After we will calculate the factors of 31056 and 31076 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 31076

Prime factors of 31076 are 2, 17, 457. Prime factorization of 31076 in exponential form is:

31076 = 2² × 17¹ × 457¹

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 31076

List of positive integer factors of 31076 that divides 31056 without a remainder.

1, 2, 4, 17, 34, 68, 457, 914, 1828, 7769, 15538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31056 and 31076. The biggest common factor number is the GCF number.
So the greatest common factor 31056 and 31076 is 4.

Also check out the Least Common Multiple of 31056 and 31076