What is the Greatest Common Factor of 55224 and 55232?

Greatest common factor (GCF) of 55224 and 55232 is 8.

GCF(55224,55232) = 8

We will now calculate the prime factors of 55224 and 55232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55224 and 55232.

How to find the GCF of 55224 and 55232?

We will first find the prime factorization of 55224 and 55232. After we will calculate the factors of 55224 and 55232 and find the biggest common factor number .

Step-1: Prime Factorization of 55224

Prime factors of 55224 are 2, 3, 13, 59. Prime factorization of 55224 in exponential form is:

55224 = 2³ × 3² × 13¹ × 59¹

Step-2: Prime Factorization of 55232

Prime factors of 55232 are 2, 863. Prime factorization of 55232 in exponential form is:

55232 = 2⁶ × 863¹

Step-3: Factors of 55224

List of positive integer factors of 55224 that divides 55224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 59, 72, 78, 104, 117, 118, 156, 177, 234, 236, 312, 354, 468, 472, 531, 708, 767, 936, 1062, 1416, 1534, 2124, 2301, 3068, 4248, 4602, 6136, 6903, 9204, 13806, 18408, 27612

Step-4: Factors of 55232

List of positive integer factors of 55232 that divides 55224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 863, 1726, 3452, 6904, 13808, 27616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55224 and 55232. The biggest common factor number is the GCF number.
So the greatest common factor 55224 and 55232 is 8.

Also check out the Least Common Multiple of 55224 and 55232