What is the Greatest Common Factor of 55854 and 55864?

Greatest common factor (GCF) of 55854 and 55864 is 2.

GCF(55854,55864) = 2

We will now calculate the prime factors of 55854 and 55864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55854 and 55864.

How to find the GCF of 55854 and 55864?

We will first find the prime factorization of 55854 and 55864. After we will calculate the factors of 55854 and 55864 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 55864

Prime factors of 55864 are 2, 6983. Prime factorization of 55864 in exponential form is:

55864 = 2³ × 6983¹

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 55864

List of positive integer factors of 55864 that divides 55854 without a remainder.

1, 2, 4, 8, 6983, 13966, 27932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55854 and 55864. The biggest common factor number is the GCF number.
So the greatest common factor 55854 and 55864 is 2.

Also check out the Least Common Multiple of 55854 and 55864