What is the Greatest Common Factor of 55758 and 55776?

Greatest common factor (GCF) of 55758 and 55776 is 6.

GCF(55758,55776) = 6

We will now calculate the prime factors of 55758 and 55776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55758 and 55776.

How to find the GCF of 55758 and 55776?

We will first find the prime factorization of 55758 and 55776. After we will calculate the factors of 55758 and 55776 and find the biggest common factor number .

Step-1: Prime Factorization of 55758

Prime factors of 55758 are 2, 3, 9293. Prime factorization of 55758 in exponential form is:

55758 = 2¹ × 3¹ × 9293¹

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 55758

List of positive integer factors of 55758 that divides 55758 without a remainder.

1, 2, 3, 6, 9293, 18586, 27879

Step-4: Factors of 55776

List of positive integer factors of 55776 that divides 55758 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 55758 and 55776. The biggest common factor number is the GCF number.
So the greatest common factor 55758 and 55776 is 6.

Also check out the Least Common Multiple of 55758 and 55776