What is the Greatest Common Factor of 55248 and 55263?

Greatest common factor (GCF) of 55248 and 55263 is 3.

GCF(55248,55263) = 3

We will now calculate the prime factors of 55248 and 55263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55248 and 55263.

How to find the GCF of 55248 and 55263?

We will first find the prime factorization of 55248 and 55263. After we will calculate the factors of 55248 and 55263 and find the biggest common factor number .

Step-1: Prime Factorization of 55248

Prime factors of 55248 are 2, 3, 1151. Prime factorization of 55248 in exponential form is:

55248 = 2⁴ × 3¹ × 1151¹

Step-2: Prime Factorization of 55263

Prime factors of 55263 are 3, 13, 109. Prime factorization of 55263 in exponential form is:

55263 = 3¹ × 13² × 109¹

Step-3: Factors of 55248

List of positive integer factors of 55248 that divides 55248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1151, 2302, 3453, 4604, 6906, 9208, 13812, 18416, 27624

Step-4: Factors of 55263

List of positive integer factors of 55263 that divides 55248 without a remainder.

1, 3, 13, 39, 109, 169, 327, 507, 1417, 4251, 18421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55248 and 55263. The biggest common factor number is the GCF number.
So the greatest common factor 55248 and 55263 is 3.

Also check out the Least Common Multiple of 55248 and 55263