What is the Greatest Common Factor of 55776 and 55788?

Greatest common factor (GCF) of 55776 and 55788 is 12.

GCF(55776,55788) = 12

We will now calculate the prime factors of 55776 and 55788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55776 and 55788.

How to find the GCF of 55776 and 55788?

We will first find the prime factorization of 55776 and 55788. After we will calculate the factors of 55776 and 55788 and find the biggest common factor number .

Step-1: Prime Factorization of 55776

Prime factors of 55776 are 2, 3, 7, 83. Prime factorization of 55776 in exponential form is:

55776 = 2⁵ × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 55788

Prime factors of 55788 are 2, 3, 4649. Prime factorization of 55788 in exponential form is:

55788 = 2² × 3¹ × 4649¹

Step-3: Factors of 55776

List of positive integer factors of 55776 that divides 55776 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 83, 84, 96, 112, 166, 168, 224, 249, 332, 336, 498, 581, 664, 672, 996, 1162, 1328, 1743, 1992, 2324, 2656, 3486, 3984, 4648, 6972, 7968, 9296, 13944, 18592, 27888

Step-4: Factors of 55788

List of positive integer factors of 55788 that divides 55776 without a remainder.

1, 2, 3, 4, 6, 12, 4649, 9298, 13947, 18596, 27894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55776 and 55788. The biggest common factor number is the GCF number.
So the greatest common factor 55776 and 55788 is 12.

Also check out the Least Common Multiple of 55776 and 55788