What is the Greatest Common Factor of 55704 and 55724?

Greatest common factor (GCF) of 55704 and 55724 is 4.

GCF(55704,55724) = 4

We will now calculate the prime factors of 55704 and 55724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55704 and 55724.

How to find the GCF of 55704 and 55724?

We will first find the prime factorization of 55704 and 55724. After we will calculate the factors of 55704 and 55724 and find the biggest common factor number .

Step-1: Prime Factorization of 55704

Prime factors of 55704 are 2, 3, 11, 211. Prime factorization of 55704 in exponential form is:

55704 = 2³ × 3¹ × 11¹ × 211¹

Step-2: Prime Factorization of 55724

Prime factors of 55724 are 2, 13931. Prime factorization of 55724 in exponential form is:

55724 = 2² × 13931¹

Step-3: Factors of 55704

List of positive integer factors of 55704 that divides 55704 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 211, 264, 422, 633, 844, 1266, 1688, 2321, 2532, 4642, 5064, 6963, 9284, 13926, 18568, 27852

Step-4: Factors of 55724

List of positive integer factors of 55724 that divides 55704 without a remainder.

1, 2, 4, 13931, 27862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55704 and 55724. The biggest common factor number is the GCF number.
So the greatest common factor 55704 and 55724 is 4.

Also check out the Least Common Multiple of 55704 and 55724