What is the Greatest Common Factor of 55776 and 55789?

Greatest common factor (GCF) of 55776 and 55789 is 1.

GCF(55776,55789) = 1

We will now calculate the prime factors of 55776 and 55789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55776 and 55789.

How to find the GCF of 55776 and 55789?

We will first find the prime factorization of 55776 and 55789. After we will calculate the factors of 55776 and 55789 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 55789

Prime factors of 55789 are 47, 1187. Prime factorization of 55789 in exponential form is:

55789 = 47¹ × 1187¹

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 55789

List of positive integer factors of 55789 that divides 55776 without a remainder.

1, 47, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55776 and 55789. The biggest common factor number is the GCF number.
So the greatest common factor 55776 and 55789 is 1.

Also check out the Least Common Multiple of 55776 and 55789