What is the Greatest Common Factor of 55748 and 55766?

Greatest common factor (GCF) of 55748 and 55766 is 2.

GCF(55748,55766) = 2

We will now calculate the prime factors of 55748 and 55766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55748 and 55766.

How to find the GCF of 55748 and 55766?

We will first find the prime factorization of 55748 and 55766. After we will calculate the factors of 55748 and 55766 and find the biggest common factor number .

Step-1: Prime Factorization of 55748

Prime factors of 55748 are 2, 7, 11, 181. Prime factorization of 55748 in exponential form is:

55748 = 2² × 7¹ × 11¹ × 181¹

Step-2: Prime Factorization of 55766

Prime factors of 55766 are 2, 27883. Prime factorization of 55766 in exponential form is:

55766 = 2¹ × 27883¹

Step-3: Factors of 55748

List of positive integer factors of 55748 that divides 55748 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 181, 308, 362, 724, 1267, 1991, 2534, 3982, 5068, 7964, 13937, 27874

Step-4: Factors of 55766

List of positive integer factors of 55766 that divides 55748 without a remainder.

1, 2, 27883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55748 and 55766. The biggest common factor number is the GCF number.
So the greatest common factor 55748 and 55766 is 2.

Also check out the Least Common Multiple of 55748 and 55766