What is the Greatest Common Factor of 59898 and 59913?

Greatest common factor (GCF) of 59898 and 59913 is 3.

GCF(59898,59913) = 3

We will now calculate the prime factors of 59898 and 59913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59898 and 59913.

How to find the GCF of 59898 and 59913?

We will first find the prime factorization of 59898 and 59913. After we will calculate the factors of 59898 and 59913 and find the biggest common factor number .

Step-1: Prime Factorization of 59898

Prime factors of 59898 are 2, 3, 67, 149. Prime factorization of 59898 in exponential form is:

59898 = 2¹ × 3¹ × 67¹ × 149¹

Step-2: Prime Factorization of 59913

Prime factors of 59913 are 3, 7, 317. Prime factorization of 59913 in exponential form is:

59913 = 3³ × 7¹ × 317¹

Step-3: Factors of 59898

List of positive integer factors of 59898 that divides 59898 without a remainder.

1, 2, 3, 6, 67, 134, 149, 201, 298, 402, 447, 894, 9983, 19966, 29949

Step-4: Factors of 59913

List of positive integer factors of 59913 that divides 59898 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 317, 951, 2219, 2853, 6657, 8559, 19971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59898 and 59913. The biggest common factor number is the GCF number.
So the greatest common factor 59898 and 59913 is 3.

Also check out the Least Common Multiple of 59898 and 59913