What is the Greatest Common Factor of 31827 and 31836?

Greatest common factor (GCF) of 31827 and 31836 is 3.

GCF(31827,31836) = 3

We will now calculate the prime factors of 31827 and 31836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31827 and 31836.

How to find the GCF of 31827 and 31836?

We will first find the prime factorization of 31827 and 31836. After we will calculate the factors of 31827 and 31836 and find the biggest common factor number .

Step-1: Prime Factorization of 31827

Prime factors of 31827 are 3, 103. Prime factorization of 31827 in exponential form is:

31827 = 3¹ × 103²

Step-2: Prime Factorization of 31836

Prime factors of 31836 are 2, 3, 7, 379. Prime factorization of 31836 in exponential form is:

31836 = 2² × 3¹ × 7¹ × 379¹

Step-3: Factors of 31827

List of positive integer factors of 31827 that divides 31827 without a remainder.

1, 3, 103, 309, 10609

Step-4: Factors of 31836

List of positive integer factors of 31836 that divides 31827 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 379, 758, 1137, 1516, 2274, 2653, 4548, 5306, 7959, 10612, 15918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31827 and 31836. The biggest common factor number is the GCF number.
So the greatest common factor 31827 and 31836 is 3.

Also check out the Least Common Multiple of 31827 and 31836