What is the Greatest Common Factor of 55050 and 55056?

Greatest common factor (GCF) of 55050 and 55056 is 6.

GCF(55050,55056) = 6

We will now calculate the prime factors of 55050 and 55056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55050 and 55056.

How to find the GCF of 55050 and 55056?

We will first find the prime factorization of 55050 and 55056. After we will calculate the factors of 55050 and 55056 and find the biggest common factor number .

Step-1: Prime Factorization of 55050

Prime factors of 55050 are 2, 3, 5, 367. Prime factorization of 55050 in exponential form is:

55050 = 2¹ × 3¹ × 5² × 367¹

Step-2: Prime Factorization of 55056

Prime factors of 55056 are 2, 3, 31, 37. Prime factorization of 55056 in exponential form is:

55056 = 2⁴ × 3¹ × 31¹ × 37¹

Step-3: Factors of 55050

List of positive integer factors of 55050 that divides 55050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 367, 734, 1101, 1835, 2202, 3670, 5505, 9175, 11010, 18350, 27525

Step-4: Factors of 55056

List of positive integer factors of 55056 that divides 55050 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 37, 48, 62, 74, 93, 111, 124, 148, 186, 222, 248, 296, 372, 444, 496, 592, 744, 888, 1147, 1488, 1776, 2294, 3441, 4588, 6882, 9176, 13764, 18352, 27528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55050 and 55056. The biggest common factor number is the GCF number.
So the greatest common factor 55050 and 55056 is 6.

Also check out the Least Common Multiple of 55050 and 55056