What is the Greatest Common Factor of 55776 and 55794?

Greatest common factor (GCF) of 55776 and 55794 is 6.

GCF(55776,55794) = 6

We will now calculate the prime factors of 55776 and 55794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55776 and 55794.

How to find the GCF of 55776 and 55794?

We will first find the prime factorization of 55776 and 55794. After we will calculate the factors of 55776 and 55794 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 55794

Prime factors of 55794 are 2, 3, 17, 547. Prime factorization of 55794 in exponential form is:

55794 = 2¹ × 3¹ × 17¹ × 547¹

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 55794

List of positive integer factors of 55794 that divides 55776 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 547, 1094, 1641, 3282, 9299, 18598, 27897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55776 and 55794. The biggest common factor number is the GCF number.
So the greatest common factor 55776 and 55794 is 6.

Also check out the Least Common Multiple of 55776 and 55794