What is the Greatest Common Factor of 55242 and 55257?

Greatest common factor (GCF) of 55242 and 55257 is 3.

GCF(55242,55257) = 3

We will now calculate the prime factors of 55242 and 55257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55242 and 55257.

How to find the GCF of 55242 and 55257?

We will first find the prime factorization of 55242 and 55257. After we will calculate the factors of 55242 and 55257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55257

Prime factors of 55257 are 3, 113, 163. Prime factorization of 55257 in exponential form is:

55257 = 3¹ × 113¹ × 163¹

Step-3: Factors of 55242

List of positive integer factors of 55242 that divides 55242 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

Step-4: Factors of 55257

List of positive integer factors of 55257 that divides 55242 without a remainder.

1, 3, 113, 163, 339, 489, 18419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55242 and 55257. The biggest common factor number is the GCF number.
So the greatest common factor 55242 and 55257 is 3.

Also check out the Least Common Multiple of 55242 and 55257