What is the Greatest Common Factor of 55917 and 55929?

Greatest common factor (GCF) of 55917 and 55929 is 3.

GCF(55917,55929) = 3

We will now calculate the prime factors of 55917 and 55929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55917 and 55929.

How to find the GCF of 55917 and 55929?

We will first find the prime factorization of 55917 and 55929. After we will calculate the factors of 55917 and 55929 and find the biggest common factor number .

Step-1: Prime Factorization of 55917

Prime factors of 55917 are 3, 19, 109. Prime factorization of 55917 in exponential form is:

55917 = 3³ × 19¹ × 109¹

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 55917

List of positive integer factors of 55917 that divides 55917 without a remainder.

1, 3, 9, 19, 27, 57, 109, 171, 327, 513, 981, 2071, 2943, 6213, 18639

Step-4: Factors of 55929

List of positive integer factors of 55929 that divides 55917 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55917 and 55929. The biggest common factor number is the GCF number.
So the greatest common factor 55917 and 55929 is 3.

Also check out the Least Common Multiple of 55917 and 55929