What is the Greatest Common Factor of 59895 and 59906?

Greatest common factor (GCF) of 59895 and 59906 is 11.

GCF(59895,59906) = 11

We will now calculate the prime factors of 59895 and 59906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59895 and 59906.

How to find the GCF of 59895 and 59906?

We will first find the prime factorization of 59895 and 59906. After we will calculate the factors of 59895 and 59906 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59906

Prime factors of 59906 are 2, 7, 11, 389. Prime factorization of 59906 in exponential form is:

59906 = 2¹ × 7¹ × 11¹ × 389¹

Step-3: Factors of 59895

List of positive integer factors of 59895 that divides 59895 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

Step-4: Factors of 59906

List of positive integer factors of 59906 that divides 59895 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 389, 778, 2723, 4279, 5446, 8558, 29953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59895 and 59906. The biggest common factor number is the GCF number.
So the greatest common factor 59895 and 59906 is 11.

Also check out the Least Common Multiple of 59895 and 59906