What is the Greatest Common Factor of 55368 and 55382?

Greatest common factor (GCF) of 55368 and 55382 is 2.

GCF(55368,55382) = 2

We will now calculate the prime factors of 55368 and 55382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55368 and 55382.

How to find the GCF of 55368 and 55382?

We will first find the prime factorization of 55368 and 55382. After we will calculate the factors of 55368 and 55382 and find the biggest common factor number .

Step-1: Prime Factorization of 55368

Prime factors of 55368 are 2, 3, 769. Prime factorization of 55368 in exponential form is:

55368 = 2³ × 3² × 769¹

Step-2: Prime Factorization of 55382

Prime factors of 55382 are 2, 27691. Prime factorization of 55382 in exponential form is:

55382 = 2¹ × 27691¹

Step-3: Factors of 55368

List of positive integer factors of 55368 that divides 55368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 769, 1538, 2307, 3076, 4614, 6152, 6921, 9228, 13842, 18456, 27684

Step-4: Factors of 55382

List of positive integer factors of 55382 that divides 55368 without a remainder.

1, 2, 27691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55368 and 55382. The biggest common factor number is the GCF number.
So the greatest common factor 55368 and 55382 is 2.

Also check out the Least Common Multiple of 55368 and 55382