What is the Greatest Common Factor of 55209 and 55224?

Greatest common factor (GCF) of 55209 and 55224 is 3.

GCF(55209,55224) = 3

We will now calculate the prime factors of 55209 and 55224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55209 and 55224.

How to find the GCF of 55209 and 55224?

We will first find the prime factorization of 55209 and 55224. After we will calculate the factors of 55209 and 55224 and find the biggest common factor number .

Step-1: Prime Factorization of 55209

Prime factors of 55209 are 3, 7, 11, 239. Prime factorization of 55209 in exponential form is:

55209 = 3¹ × 7¹ × 11¹ × 239¹

Step-2: 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-3: Factors of 55209

List of positive integer factors of 55209 that divides 55209 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 239, 717, 1673, 2629, 5019, 7887, 18403

Step-4: Factors of 55224

List of positive integer factors of 55224 that divides 55209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55209 and 55224. The biggest common factor number is the GCF number.
So the greatest common factor 55209 and 55224 is 3.

Also check out the Least Common Multiple of 55209 and 55224