What is the Greatest Common Factor of 66885 and 66899?

Greatest common factor (GCF) of 66885 and 66899 is 7.

GCF(66885,66899) = 7

We will now calculate the prime factors of 66885 and 66899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66885 and 66899.

How to find the GCF of 66885 and 66899?

We will first find the prime factorization of 66885 and 66899. After we will calculate the factors of 66885 and 66899 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 66899

Prime factors of 66899 are 7, 19, 503. Prime factorization of 66899 in exponential form is:

66899 = 7¹ × 19¹ × 503¹

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 66899

List of positive integer factors of 66899 that divides 66885 without a remainder.

1, 7, 19, 133, 503, 3521, 9557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66885 and 66899. The biggest common factor number is the GCF number.
So the greatest common factor 66885 and 66899 is 7.

Also check out the Least Common Multiple of 66885 and 66899