What is the Greatest Common Factor of 55898 and 55917?

Greatest common factor (GCF) of 55898 and 55917 is 19.

GCF(55898,55917) = 19

We will now calculate the prime factors of 55898 and 55917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55898 and 55917.

How to find the GCF of 55898 and 55917?

We will first find the prime factorization of 55898 and 55917. After we will calculate the factors of 55898 and 55917 and find the biggest common factor number .

Step-1: Prime Factorization of 55898

Prime factors of 55898 are 2, 19, 1471. Prime factorization of 55898 in exponential form is:

55898 = 2¹ × 19¹ × 1471¹

Step-2: 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-3: Factors of 55898

List of positive integer factors of 55898 that divides 55898 without a remainder.

1, 2, 19, 38, 1471, 2942, 27949

Step-4: Factors of 55917

List of positive integer factors of 55917 that divides 55898 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55898 and 55917. The biggest common factor number is the GCF number.
So the greatest common factor 55898 and 55917 is 19.

Also check out the Least Common Multiple of 55898 and 55917