What is the Greatest Common Factor of 55760 and 55776?

Greatest common factor (GCF) of 55760 and 55776 is 16.

GCF(55760,55776) = 16

We will now calculate the prime factors of 55760 and 55776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55760 and 55776.

How to find the GCF of 55760 and 55776?

We will first find the prime factorization of 55760 and 55776. After we will calculate the factors of 55760 and 55776 and find the biggest common factor number .

Step-1: Prime Factorization of 55760

Prime factors of 55760 are 2, 5, 17, 41. Prime factorization of 55760 in exponential form is:

55760 = 2⁴ × 5¹ × 17¹ × 41¹

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 55760

List of positive integer factors of 55760 that divides 55760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 41, 68, 80, 82, 85, 136, 164, 170, 205, 272, 328, 340, 410, 656, 680, 697, 820, 1360, 1394, 1640, 2788, 3280, 3485, 5576, 6970, 11152, 13940, 27880

Step-4: Factors of 55776

List of positive integer factors of 55776 that divides 55760 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 55760 and 55776. The biggest common factor number is the GCF number.
So the greatest common factor 55760 and 55776 is 16.

Also check out the Least Common Multiple of 55760 and 55776