What is the Greatest Common Factor of 55302 and 55316?

Greatest common factor (GCF) of 55302 and 55316 is 2.

GCF(55302,55316) = 2

We will now calculate the prime factors of 55302 and 55316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55302 and 55316.

How to find the GCF of 55302 and 55316?

We will first find the prime factorization of 55302 and 55316. After we will calculate the factors of 55302 and 55316 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 55316

Prime factors of 55316 are 2, 13829. Prime factorization of 55316 in exponential form is:

55316 = 2² × 13829¹

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 55316

List of positive integer factors of 55316 that divides 55302 without a remainder.

1, 2, 4, 13829, 27658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55302 and 55316. The biggest common factor number is the GCF number.
So the greatest common factor 55302 and 55316 is 2.

Also check out the Least Common Multiple of 55302 and 55316