What is the Greatest Common Factor of 55374 and 55382?

Greatest common factor (GCF) of 55374 and 55382 is 2.

GCF(55374,55382) = 2

We will now calculate the prime factors of 55374 and 55382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55374 and 55382.

How to find the GCF of 55374 and 55382?

We will first find the prime factorization of 55374 and 55382. After we will calculate the factors of 55374 and 55382 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 55382

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

55382 = 2¹ × 27691¹

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 55382

List of positive integer factors of 55382 that divides 55374 without a remainder.

1, 2, 27691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55374 and 55382. The biggest common factor number is the GCF number.
So the greatest common factor 55374 and 55382 is 2.

Also check out the Least Common Multiple of 55374 and 55382