What is the Greatest Common Factor of 55875 and 55884?

Greatest common factor (GCF) of 55875 and 55884 is 3.

GCF(55875,55884) = 3

We will now calculate the prime factors of 55875 and 55884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55875 and 55884.

How to find the GCF of 55875 and 55884?

We will first find the prime factorization of 55875 and 55884. After we will calculate the factors of 55875 and 55884 and find the biggest common factor number .

Step-1: Prime Factorization of 55875

Prime factors of 55875 are 3, 5, 149. Prime factorization of 55875 in exponential form is:

55875 = 3¹ × 5³ × 149¹

Step-2: Prime Factorization of 55884

Prime factors of 55884 are 2, 3, 4657. Prime factorization of 55884 in exponential form is:

55884 = 2² × 3¹ × 4657¹

Step-3: Factors of 55875

List of positive integer factors of 55875 that divides 55875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 149, 375, 447, 745, 2235, 3725, 11175, 18625

Step-4: Factors of 55884

List of positive integer factors of 55884 that divides 55875 without a remainder.

1, 2, 3, 4, 6, 12, 4657, 9314, 13971, 18628, 27942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55875 and 55884. The biggest common factor number is the GCF number.
So the greatest common factor 55875 and 55884 is 3.

Also check out the Least Common Multiple of 55875 and 55884