What is the Greatest Common Factor of 55056 and 55065?

Greatest common factor (GCF) of 55056 and 55065 is 3.

GCF(55056,55065) = 3

We will now calculate the prime factors of 55056 and 55065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55056 and 55065.

How to find the GCF of 55056 and 55065?

We will first find the prime factorization of 55056 and 55065. After we will calculate the factors of 55056 and 55065 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 55065

Prime factors of 55065 are 3, 5, 3671. Prime factorization of 55065 in exponential form is:

55065 = 3¹ × 5¹ × 3671¹

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 55065

List of positive integer factors of 55065 that divides 55056 without a remainder.

1, 3, 5, 15, 3671, 11013, 18355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55056 and 55065. The biggest common factor number is the GCF number.
So the greatest common factor 55056 and 55065 is 3.

Also check out the Least Common Multiple of 55056 and 55065