What is the Greatest Common Factor of 55056 and 55074?

Greatest common factor (GCF) of 55056 and 55074 is 6.

GCF(55056,55074) = 6

We will now calculate the prime factors of 55056 and 55074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55056 and 55074.

How to find the GCF of 55056 and 55074?

We will first find the prime factorization of 55056 and 55074. After we will calculate the factors of 55056 and 55074 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 55074

Prime factors of 55074 are 2, 3, 67, 137. Prime factorization of 55074 in exponential form is:

55074 = 2¹ × 3¹ × 67¹ × 137¹

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 55074

List of positive integer factors of 55074 that divides 55056 without a remainder.

1, 2, 3, 6, 67, 134, 137, 201, 274, 402, 411, 822, 9179, 18358, 27537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55056 and 55074. The biggest common factor number is the GCF number.
So the greatest common factor 55056 and 55074 is 6.

Also check out the Least Common Multiple of 55056 and 55074