What is the Greatest Common Factor of 31812 and 31816?

Greatest common factor (GCF) of 31812 and 31816 is 4.

GCF(31812,31816) = 4

We will now calculate the prime factors of 31812 and 31816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31812 and 31816.

How to find the GCF of 31812 and 31816?

We will first find the prime factorization of 31812 and 31816. After we will calculate the factors of 31812 and 31816 and find the biggest common factor number .

Step-1: Prime Factorization of 31812

Prime factors of 31812 are 2, 3, 11, 241. Prime factorization of 31812 in exponential form is:

31812 = 2² × 3¹ × 11¹ × 241¹

Step-2: Prime Factorization of 31816

Prime factors of 31816 are 2, 41, 97. Prime factorization of 31816 in exponential form is:

31816 = 2³ × 41¹ × 97¹

Step-3: Factors of 31812

List of positive integer factors of 31812 that divides 31812 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 241, 482, 723, 964, 1446, 2651, 2892, 5302, 7953, 10604, 15906

Step-4: Factors of 31816

List of positive integer factors of 31816 that divides 31812 without a remainder.

1, 2, 4, 8, 41, 82, 97, 164, 194, 328, 388, 776, 3977, 7954, 15908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31812 and 31816. The biggest common factor number is the GCF number.
So the greatest common factor 31812 and 31816 is 4.

Also check out the Least Common Multiple of 31812 and 31816