What is the Greatest Common Factor of 55776 and 55792?

Greatest common factor (GCF) of 55776 and 55792 is 16.

GCF(55776,55792) = 16

We will now calculate the prime factors of 55776 and 55792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55776 and 55792.

How to find the GCF of 55776 and 55792?

We will first find the prime factorization of 55776 and 55792. After we will calculate the factors of 55776 and 55792 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 55792

Prime factors of 55792 are 2, 11, 317. Prime factorization of 55792 in exponential form is:

55792 = 2⁴ × 11¹ × 317¹

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 55792

List of positive integer factors of 55792 that divides 55776 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 317, 634, 1268, 2536, 3487, 5072, 6974, 13948, 27896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55776 and 55792. The biggest common factor number is the GCF number.
So the greatest common factor 55776 and 55792 is 16.

Also check out the Least Common Multiple of 55776 and 55792