What is the Greatest Common Factor of 59889 and 59895?

Greatest common factor (GCF) of 59889 and 59895 is 3.

GCF(59889,59895) = 3

We will now calculate the prime factors of 59889 and 59895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59889 and 59895.

How to find the GCF of 59889 and 59895?

We will first find the prime factorization of 59889 and 59895. After we will calculate the factors of 59889 and 59895 and find the biggest common factor number .

Step-1: Prime Factorization of 59889

Prime factors of 59889 are 3, 19963. Prime factorization of 59889 in exponential form is:

59889 = 3¹ × 19963¹

Step-2: Prime Factorization of 59895

Prime factors of 59895 are 3, 5, 11. Prime factorization of 59895 in exponential form is:

59895 = 3² × 5¹ × 11³

Step-3: Factors of 59889

List of positive integer factors of 59889 that divides 59889 without a remainder.

1, 3, 19963

Step-4: Factors of 59895

List of positive integer factors of 59895 that divides 59889 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1331, 1815, 3993, 5445, 6655, 11979, 19965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59889 and 59895. The biggest common factor number is the GCF number.
So the greatest common factor 59889 and 59895 is 3.

Also check out the Least Common Multiple of 59889 and 59895