What is the Greatest Common Factor of 55821 and 55836?

Greatest common factor (GCF) of 55821 and 55836 is 3.

GCF(55821,55836) = 3

We will now calculate the prime factors of 55821 and 55836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55821 and 55836.

How to find the GCF of 55821 and 55836?

We will first find the prime factorization of 55821 and 55836. After we will calculate the factors of 55821 and 55836 and find the biggest common factor number .

Step-1: Prime Factorization of 55821

Prime factors of 55821 are 3, 23, 809. Prime factorization of 55821 in exponential form is:

55821 = 3¹ × 23¹ × 809¹

Step-2: Prime Factorization of 55836

Prime factors of 55836 are 2, 3, 11, 47. Prime factorization of 55836 in exponential form is:

55836 = 2² × 3³ × 11¹ × 47¹

Step-3: Factors of 55821

List of positive integer factors of 55821 that divides 55821 without a remainder.

1, 3, 23, 69, 809, 2427, 18607

Step-4: Factors of 55836

List of positive integer factors of 55836 that divides 55821 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 47, 54, 66, 94, 99, 108, 132, 141, 188, 198, 282, 297, 396, 423, 517, 564, 594, 846, 1034, 1188, 1269, 1551, 1692, 2068, 2538, 3102, 4653, 5076, 6204, 9306, 13959, 18612, 27918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55821 and 55836. The biggest common factor number is the GCF number.
So the greatest common factor 55821 and 55836 is 3.

Also check out the Least Common Multiple of 55821 and 55836