What is the Greatest Common Factor of 66872 and 66885?

Greatest common factor (GCF) of 66872 and 66885 is 13.

GCF(66872,66885) = 13

We will now calculate the prime factors of 66872 and 66885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66872 and 66885.

How to find the GCF of 66872 and 66885?

We will first find the prime factorization of 66872 and 66885. After we will calculate the factors of 66872 and 66885 and find the biggest common factor number .

Step-1: Prime Factorization of 66872

Prime factors of 66872 are 2, 13, 643. Prime factorization of 66872 in exponential form is:

66872 = 2³ × 13¹ × 643¹

Step-2: 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-3: Factors of 66872

List of positive integer factors of 66872 that divides 66872 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 643, 1286, 2572, 5144, 8359, 16718, 33436

Step-4: Factors of 66885

List of positive integer factors of 66885 that divides 66872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66872 and 66885. The biggest common factor number is the GCF number.
So the greatest common factor 66872 and 66885 is 13.

Also check out the Least Common Multiple of 66872 and 66885