What is the Greatest Common Factor of 55224 and 55230?

Greatest common factor (GCF) of 55224 and 55230 is 6.

GCF(55224,55230) = 6

We will now calculate the prime factors of 55224 and 55230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55224 and 55230.

How to find the GCF of 55224 and 55230?

We will first find the prime factorization of 55224 and 55230. After we will calculate the factors of 55224 and 55230 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 55230

Prime factors of 55230 are 2, 3, 5, 7, 263. Prime factorization of 55230 in exponential form is:

55230 = 2¹ × 3¹ × 5¹ × 7¹ × 263¹

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 55230

List of positive integer factors of 55230 that divides 55224 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 263, 526, 789, 1315, 1578, 1841, 2630, 3682, 3945, 5523, 7890, 9205, 11046, 18410, 27615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55224 and 55230. The biggest common factor number is the GCF number.
So the greatest common factor 55224 and 55230 is 6.

Also check out the Least Common Multiple of 55224 and 55230