What is the Greatest Common Factor of 55302 and 55308?

Greatest common factor (GCF) of 55302 and 55308 is 6.

GCF(55302,55308) = 6

We will now calculate the prime factors of 55302 and 55308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55302 and 55308.

How to find the GCF of 55302 and 55308?

We will first find the prime factorization of 55302 and 55308. After we will calculate the factors of 55302 and 55308 and find the biggest common factor number .

Step-1: Prime Factorization of 55302

Prime factors of 55302 are 2, 3, 13, 709. Prime factorization of 55302 in exponential form is:

55302 = 2¹ × 3¹ × 13¹ × 709¹

Step-2: Prime Factorization of 55308

Prime factors of 55308 are 2, 3, 11, 419. Prime factorization of 55308 in exponential form is:

55308 = 2² × 3¹ × 11¹ × 419¹

Step-3: Factors of 55302

List of positive integer factors of 55302 that divides 55302 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 709, 1418, 2127, 4254, 9217, 18434, 27651

Step-4: Factors of 55308

List of positive integer factors of 55308 that divides 55302 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 419, 838, 1257, 1676, 2514, 4609, 5028, 9218, 13827, 18436, 27654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55302 and 55308. The biggest common factor number is the GCF number.
So the greatest common factor 55302 and 55308 is 6.

Also check out the Least Common Multiple of 55302 and 55308