What is the Greatest Common Factor of 55056 and 55068?

Greatest common factor (GCF) of 55056 and 55068 is 12.

GCF(55056,55068) = 12

We will now calculate the prime factors of 55056 and 55068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55056 and 55068.

How to find the GCF of 55056 and 55068?

We will first find the prime factorization of 55056 and 55068. After we will calculate the factors of 55056 and 55068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55068

Prime factors of 55068 are 2, 3, 13, 353. Prime factorization of 55068 in exponential form is:

55068 = 2² × 3¹ × 13¹ × 353¹

Step-3: Factors of 55056

List of positive integer factors of 55056 that divides 55056 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

Step-4: Factors of 55068

List of positive integer factors of 55068 that divides 55056 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 353, 706, 1059, 1412, 2118, 4236, 4589, 9178, 13767, 18356, 27534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55056 and 55068. The biggest common factor number is the GCF number.
So the greatest common factor 55056 and 55068 is 12.

Also check out the Least Common Multiple of 55056 and 55068