What is the Greatest Common Factor of 66885 and 66898?

Greatest common factor (GCF) of 66885 and 66898 is 13.

GCF(66885,66898) = 13

We will now calculate the prime factors of 66885 and 66898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66885 and 66898.

How to find the GCF of 66885 and 66898?

We will first find the prime factorization of 66885 and 66898. After we will calculate the factors of 66885 and 66898 and find the biggest common factor number .

Step-1: Prime Factorization of 66885

Prime factors of 66885 are 3, 5, 7, 13. Prime factorization of 66885 in exponential form is:

66885 = 3¹ × 5¹ × 7³ × 13¹

Step-2: Prime Factorization of 66898

Prime factors of 66898 are 2, 13, 31, 83. Prime factorization of 66898 in exponential form is:

66898 = 2¹ × 13¹ × 31¹ × 83¹

Step-3: Factors of 66885

List of positive integer factors of 66885 that divides 66885 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 343, 455, 637, 735, 1029, 1365, 1715, 1911, 3185, 4459, 5145, 9555, 13377, 22295

Step-4: Factors of 66898

List of positive integer factors of 66898 that divides 66885 without a remainder.

1, 2, 13, 26, 31, 62, 83, 166, 403, 806, 1079, 2158, 2573, 5146, 33449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66885 and 66898. The biggest common factor number is the GCF number.
So the greatest common factor 66885 and 66898 is 13.

Also check out the Least Common Multiple of 66885 and 66898