What is the Greatest Common Factor of 55824 and 55836?

Greatest common factor (GCF) of 55824 and 55836 is 12.

GCF(55824,55836) = 12

We will now calculate the prime factors of 55824 and 55836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55824 and 55836.

How to find the GCF of 55824 and 55836?

We will first find the prime factorization of 55824 and 55836. After we will calculate the factors of 55824 and 55836 and find the biggest common factor number .

Step-1: Prime Factorization of 55824

Prime factors of 55824 are 2, 3, 1163. Prime factorization of 55824 in exponential form is:

55824 = 2⁴ × 3¹ × 1163¹

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 55824

List of positive integer factors of 55824 that divides 55824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1163, 2326, 3489, 4652, 6978, 9304, 13956, 18608, 27912

Step-4: Factors of 55836

List of positive integer factors of 55836 that divides 55824 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 55824 and 55836. The biggest common factor number is the GCF number.
So the greatest common factor 55824 and 55836 is 12.

Also check out the Least Common Multiple of 55824 and 55836