What is the Greatest Common Factor of 55056 and 55066?

Greatest common factor (GCF) of 55056 and 55066 is 2.

GCF(55056,55066) = 2

We will now calculate the prime factors of 55056 and 55066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55056 and 55066.

How to find the GCF of 55056 and 55066?

We will first find the prime factorization of 55056 and 55066. After we will calculate the factors of 55056 and 55066 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 55066

Prime factors of 55066 are 2, 11, 2503. Prime factorization of 55066 in exponential form is:

55066 = 2¹ × 11¹ × 2503¹

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 55066

List of positive integer factors of 55066 that divides 55056 without a remainder.

1, 2, 11, 22, 2503, 5006, 27533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55056 and 55066. The biggest common factor number is the GCF number.
So the greatest common factor 55056 and 55066 is 2.

Also check out the Least Common Multiple of 55056 and 55066