What is the Greatest Common Factor of 55374 and 55392?

Greatest common factor (GCF) of 55374 and 55392 is 6.

GCF(55374,55392) = 6

We will now calculate the prime factors of 55374 and 55392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55374 and 55392.

How to find the GCF of 55374 and 55392?

We will first find the prime factorization of 55374 and 55392. After we will calculate the factors of 55374 and 55392 and find the biggest common factor number .

Step-1: Prime Factorization of 55374

Prime factors of 55374 are 2, 3, 11, 839. Prime factorization of 55374 in exponential form is:

55374 = 2¹ × 3¹ × 11¹ × 839¹

Step-2: Prime Factorization of 55392

Prime factors of 55392 are 2, 3, 577. Prime factorization of 55392 in exponential form is:

55392 = 2⁵ × 3¹ × 577¹

Step-3: Factors of 55374

List of positive integer factors of 55374 that divides 55374 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 839, 1678, 2517, 5034, 9229, 18458, 27687

Step-4: Factors of 55392

List of positive integer factors of 55392 that divides 55374 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 577, 1154, 1731, 2308, 3462, 4616, 6924, 9232, 13848, 18464, 27696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55374 and 55392. The biggest common factor number is the GCF number.
So the greatest common factor 55374 and 55392 is 6.

Also check out the Least Common Multiple of 55374 and 55392