What is the Greatest Common Factor of 55584 and 55596?

Greatest common factor (GCF) of 55584 and 55596 is 12.

GCF(55584,55596) = 12

We will now calculate the prime factors of 55584 and 55596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55584 and 55596.

How to find the GCF of 55584 and 55596?

We will first find the prime factorization of 55584 and 55596. After we will calculate the factors of 55584 and 55596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55596

Prime factors of 55596 are 2, 3, 41, 113. Prime factorization of 55596 in exponential form is:

55596 = 2² × 3¹ × 41¹ × 113¹

Step-3: Factors of 55584

List of positive integer factors of 55584 that divides 55584 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

Step-4: Factors of 55596

List of positive integer factors of 55596 that divides 55584 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 113, 123, 164, 226, 246, 339, 452, 492, 678, 1356, 4633, 9266, 13899, 18532, 27798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55584 and 55596. The biggest common factor number is the GCF number.
So the greatest common factor 55584 and 55596 is 12.

Also check out the Least Common Multiple of 55584 and 55596