What is the Greatest Common Factor of 55854 and 55858?

Greatest common factor (GCF) of 55854 and 55858 is 2.

GCF(55854,55858) = 2

We will now calculate the prime factors of 55854 and 55858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55854 and 55858.

How to find the GCF of 55854 and 55858?

We will first find the prime factorization of 55854 and 55858. After we will calculate the factors of 55854 and 55858 and find the biggest common factor number .

Step-1: Prime Factorization of 55854

Prime factors of 55854 are 2, 3, 29, 107. Prime factorization of 55854 in exponential form is:

55854 = 2¹ × 3² × 29¹ × 107¹

Step-2: Prime Factorization of 55858

Prime factors of 55858 are 2, 11, 2539. Prime factorization of 55858 in exponential form is:

55858 = 2¹ × 11¹ × 2539¹

Step-3: Factors of 55854

List of positive integer factors of 55854 that divides 55854 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 107, 174, 214, 261, 321, 522, 642, 963, 1926, 3103, 6206, 9309, 18618, 27927

Step-4: Factors of 55858

List of positive integer factors of 55858 that divides 55854 without a remainder.

1, 2, 11, 22, 2539, 5078, 27929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55854 and 55858. The biggest common factor number is the GCF number.
So the greatest common factor 55854 and 55858 is 2.

Also check out the Least Common Multiple of 55854 and 55858