What is the Greatest Common Factor of 55689 and 55704?

Greatest common factor (GCF) of 55689 and 55704 is 3.

GCF(55689,55704) = 3

We will now calculate the prime factors of 55689 and 55704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55689 and 55704.

How to find the GCF of 55689 and 55704?

We will first find the prime factorization of 55689 and 55704. After we will calculate the factors of 55689 and 55704 and find the biggest common factor number .

Step-1: Prime Factorization of 55689

Prime factors of 55689 are 3, 19, 977. Prime factorization of 55689 in exponential form is:

55689 = 3¹ × 19¹ × 977¹

Step-2: 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-3: Factors of 55689

List of positive integer factors of 55689 that divides 55689 without a remainder.

1, 3, 19, 57, 977, 2931, 18563

Step-4: Factors of 55704

List of positive integer factors of 55704 that divides 55689 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55689 and 55704. The biggest common factor number is the GCF number.
So the greatest common factor 55689 and 55704 is 3.

Also check out the Least Common Multiple of 55689 and 55704