What is the Greatest Common Factor of 55914 and 55929?

Greatest common factor (GCF) of 55914 and 55929 is 3.

GCF(55914,55929) = 3

We will now calculate the prime factors of 55914 and 55929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55914 and 55929.

How to find the GCF of 55914 and 55929?

We will first find the prime factorization of 55914 and 55929. After we will calculate the factors of 55914 and 55929 and find the biggest common factor number .

Step-1: Prime Factorization of 55914

Prime factors of 55914 are 2, 3, 9319. Prime factorization of 55914 in exponential form is:

55914 = 2¹ × 3¹ × 9319¹

Step-2: Prime Factorization of 55929

Prime factors of 55929 are 3, 103, 181. Prime factorization of 55929 in exponential form is:

55929 = 3¹ × 103¹ × 181¹

Step-3: Factors of 55914

List of positive integer factors of 55914 that divides 55914 without a remainder.

1, 2, 3, 6, 9319, 18638, 27957

Step-4: Factors of 55929

List of positive integer factors of 55929 that divides 55914 without a remainder.

1, 3, 103, 181, 309, 543, 18643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55914 and 55929. The biggest common factor number is the GCF number.
So the greatest common factor 55914 and 55929 is 3.

Also check out the Least Common Multiple of 55914 and 55929