What is the Greatest Common Factor of 55374 and 55390?

Greatest common factor (GCF) of 55374 and 55390 is 2.

GCF(55374,55390) = 2

We will now calculate the prime factors of 55374 and 55390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55374 and 55390.

How to find the GCF of 55374 and 55390?

We will first find the prime factorization of 55374 and 55390. After we will calculate the factors of 55374 and 55390 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 55390

Prime factors of 55390 are 2, 5, 29, 191. Prime factorization of 55390 in exponential form is:

55390 = 2¹ × 5¹ × 29¹ × 191¹

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 55390

List of positive integer factors of 55390 that divides 55374 without a remainder.

1, 2, 5, 10, 29, 58, 145, 191, 290, 382, 955, 1910, 5539, 11078, 27695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55374 and 55390. The biggest common factor number is the GCF number.
So the greatest common factor 55374 and 55390 is 2.

Also check out the Least Common Multiple of 55374 and 55390