What is the Greatest Common Factor of 55764 and 55776?

Greatest common factor (GCF) of 55764 and 55776 is 12.

GCF(55764,55776) = 12

We will now calculate the prime factors of 55764 and 55776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55764 and 55776.

How to find the GCF of 55764 and 55776?

We will first find the prime factorization of 55764 and 55776. After we will calculate the factors of 55764 and 55776 and find the biggest common factor number .

Step-1: Prime Factorization of 55764

Prime factors of 55764 are 2, 3, 1549. Prime factorization of 55764 in exponential form is:

55764 = 2² × 3² × 1549¹

Step-2: 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-3: Factors of 55764

List of positive integer factors of 55764 that divides 55764 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1549, 3098, 4647, 6196, 9294, 13941, 18588, 27882

Step-4: Factors of 55776

List of positive integer factors of 55776 that divides 55764 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55764 and 55776. The biggest common factor number is the GCF number.
So the greatest common factor 55764 and 55776 is 12.

Also check out the Least Common Multiple of 55764 and 55776