What is the Greatest Common Factor of 55756 and 55776?

Greatest common factor (GCF) of 55756 and 55776 is 4.

GCF(55756,55776) = 4

We will now calculate the prime factors of 55756 and 55776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55756 and 55776.

How to find the GCF of 55756 and 55776?

We will first find the prime factorization of 55756 and 55776. After we will calculate the factors of 55756 and 55776 and find the biggest common factor number .

Step-1: Prime Factorization of 55756

Prime factors of 55756 are 2, 53, 263. Prime factorization of 55756 in exponential form is:

55756 = 2² × 53¹ × 263¹

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 55756

List of positive integer factors of 55756 that divides 55756 without a remainder.

1, 2, 4, 53, 106, 212, 263, 526, 1052, 13939, 27878

Step-4: Factors of 55776

List of positive integer factors of 55776 that divides 55756 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 55756 and 55776. The biggest common factor number is the GCF number.
So the greatest common factor 55756 and 55776 is 4.

Also check out the Least Common Multiple of 55756 and 55776