What is the Greatest Common Factor of 55776 and 55790?

Greatest common factor (GCF) of 55776 and 55790 is 14.

GCF(55776,55790) = 14

We will now calculate the prime factors of 55776 and 55790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55776 and 55790.

How to find the GCF of 55776 and 55790?

We will first find the prime factorization of 55776 and 55790. After we will calculate the factors of 55776 and 55790 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 55790

Prime factors of 55790 are 2, 5, 7, 797. Prime factorization of 55790 in exponential form is:

55790 = 2¹ × 5¹ × 7¹ × 797¹

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 55790

List of positive integer factors of 55790 that divides 55776 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 797, 1594, 3985, 5579, 7970, 11158, 27895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55776 and 55790. The biggest common factor number is the GCF number.
So the greatest common factor 55776 and 55790 is 14.

Also check out the Least Common Multiple of 55776 and 55790