What is the Greatest Common Factor of 55224 and 55242?

Greatest common factor (GCF) of 55224 and 55242 is 18.

GCF(55224,55242) = 18

We will now calculate the prime factors of 55224 and 55242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55224 and 55242.

How to find the GCF of 55224 and 55242?

We will first find the prime factorization of 55224 and 55242. After we will calculate the factors of 55224 and 55242 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 55242

Prime factors of 55242 are 2, 3, 11, 31. Prime factorization of 55242 in exponential form is:

55242 = 2¹ × 3⁴ × 11¹ × 31¹

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 55242

List of positive integer factors of 55242 that divides 55224 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 31, 33, 54, 62, 66, 81, 93, 99, 162, 186, 198, 279, 297, 341, 558, 594, 682, 837, 891, 1023, 1674, 1782, 2046, 2511, 3069, 5022, 6138, 9207, 18414, 27621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55224 and 55242. The biggest common factor number is the GCF number.
So the greatest common factor 55224 and 55242 is 18.

Also check out the Least Common Multiple of 55224 and 55242