What is the Greatest Common Factor of 55989 and 56001?

Greatest common factor (GCF) of 55989 and 56001 is 3.

GCF(55989,56001) = 3

We will now calculate the prime factors of 55989 and 56001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55989 and 56001.

How to find the GCF of 55989 and 56001?

We will first find the prime factorization of 55989 and 56001. After we will calculate the factors of 55989 and 56001 and find the biggest common factor number .

Step-1: Prime Factorization of 55989

Prime factors of 55989 are 3, 6221. Prime factorization of 55989 in exponential form is:

55989 = 3² × 6221¹

Step-2: Prime Factorization of 56001

Prime factors of 56001 are 3, 11, 1697. Prime factorization of 56001 in exponential form is:

56001 = 3¹ × 11¹ × 1697¹

Step-3: Factors of 55989

List of positive integer factors of 55989 that divides 55989 without a remainder.

1, 3, 9, 6221, 18663

Step-4: Factors of 56001

List of positive integer factors of 56001 that divides 55989 without a remainder.

1, 3, 11, 33, 1697, 5091, 18667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55989 and 56001. The biggest common factor number is the GCF number.
So the greatest common factor 55989 and 56001 is 3.

Also check out the Least Common Multiple of 55989 and 56001