What is the Greatest Common Factor of 55368 and 55374?

Greatest common factor (GCF) of 55368 and 55374 is 6.

GCF(55368,55374) = 6

We will now calculate the prime factors of 55368 and 55374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55368 and 55374.

How to find the GCF of 55368 and 55374?

We will first find the prime factorization of 55368 and 55374. After we will calculate the factors of 55368 and 55374 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 55374

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

55374 = 2¹ × 3¹ × 11¹ × 839¹

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 55374

List of positive integer factors of 55374 that divides 55368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55368 and 55374. The biggest common factor number is the GCF number.
So the greatest common factor 55368 and 55374 is 6.

Also check out the Least Common Multiple of 55368 and 55374