What is the Greatest Common Factor of 55851 and 55869?

Greatest common factor (GCF) of 55851 and 55869 is 3.

GCF(55851,55869) = 3

We will now calculate the prime factors of 55851 and 55869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55851 and 55869.

How to find the GCF of 55851 and 55869?

We will first find the prime factorization of 55851 and 55869. After we will calculate the factors of 55851 and 55869 and find the biggest common factor number .

Step-1: Prime Factorization of 55851

Prime factors of 55851 are 3, 18617. Prime factorization of 55851 in exponential form is:

55851 = 3¹ × 18617¹

Step-2: Prime Factorization of 55869

Prime factors of 55869 are 3, 11, 1693. Prime factorization of 55869 in exponential form is:

55869 = 3¹ × 11¹ × 1693¹

Step-3: Factors of 55851

List of positive integer factors of 55851 that divides 55851 without a remainder.

1, 3, 18617

Step-4: Factors of 55869

List of positive integer factors of 55869 that divides 55851 without a remainder.

1, 3, 11, 33, 1693, 5079, 18623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55851 and 55869. The biggest common factor number is the GCF number.
So the greatest common factor 55851 and 55869 is 3.

Also check out the Least Common Multiple of 55851 and 55869