What is the Greatest Common Factor of 55742 and 55748?

Greatest common factor (GCF) of 55742 and 55748 is 2.

GCF(55742,55748) = 2

We will now calculate the prime factors of 55742 and 55748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55742 and 55748.

How to find the GCF of 55742 and 55748?

We will first find the prime factorization of 55742 and 55748. After we will calculate the factors of 55742 and 55748 and find the biggest common factor number .

Step-1: Prime Factorization of 55742

Prime factors of 55742 are 2, 47, 593. Prime factorization of 55742 in exponential form is:

55742 = 2¹ × 47¹ × 593¹

Step-2: 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-3: Factors of 55742

List of positive integer factors of 55742 that divides 55742 without a remainder.

1, 2, 47, 94, 593, 1186, 27871

Step-4: Factors of 55748

List of positive integer factors of 55748 that divides 55742 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55742 and 55748. The biggest common factor number is the GCF number.
So the greatest common factor 55742 and 55748 is 2.

Also check out the Least Common Multiple of 55742 and 55748