What is the Greatest Common Factor of 31812 and 31821?

Greatest common factor (GCF) of 31812 and 31821 is 3.

GCF(31812,31821) = 3

We will now calculate the prime factors of 31812 and 31821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31812 and 31821.

How to find the GCF of 31812 and 31821?

We will first find the prime factorization of 31812 and 31821. After we will calculate the factors of 31812 and 31821 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 31821

Prime factors of 31821 are 3, 10607. Prime factorization of 31821 in exponential form is:

31821 = 3¹ × 10607¹

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 31821

List of positive integer factors of 31821 that divides 31812 without a remainder.

1, 3, 10607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31812 and 31821. The biggest common factor number is the GCF number.
So the greatest common factor 31812 and 31821 is 3.

Also check out the Least Common Multiple of 31812 and 31821