What is the Greatest Common Factor of 55572 and 55584?

Greatest common factor (GCF) of 55572 and 55584 is 12.

GCF(55572,55584) = 12

We will now calculate the prime factors of 55572 and 55584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55572 and 55584.

How to find the GCF of 55572 and 55584?

We will first find the prime factorization of 55572 and 55584. After we will calculate the factors of 55572 and 55584 and find the biggest common factor number .

Step-1: Prime Factorization of 55572

Prime factors of 55572 are 2, 3, 11, 421. Prime factorization of 55572 in exponential form is:

55572 = 2² × 3¹ × 11¹ × 421¹

Step-2: Prime Factorization of 55584

Prime factors of 55584 are 2, 3, 193. Prime factorization of 55584 in exponential form is:

55584 = 2⁵ × 3² × 193¹

Step-3: Factors of 55572

List of positive integer factors of 55572 that divides 55572 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 421, 842, 1263, 1684, 2526, 4631, 5052, 9262, 13893, 18524, 27786

Step-4: Factors of 55584

List of positive integer factors of 55584 that divides 55572 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 193, 288, 386, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 6176, 6948, 9264, 13896, 18528, 27792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55572 and 55584. The biggest common factor number is the GCF number.
So the greatest common factor 55572 and 55584 is 12.

Also check out the Least Common Multiple of 55572 and 55584