What is the Greatest Common Factor of 66885 and 66892?

Greatest common factor (GCF) of 66885 and 66892 is 7.

GCF(66885,66892) = 7

We will now calculate the prime factors of 66885 and 66892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66885 and 66892.

How to find the GCF of 66885 and 66892?

We will first find the prime factorization of 66885 and 66892. After we will calculate the factors of 66885 and 66892 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 66892

Prime factors of 66892 are 2, 7, 2389. Prime factorization of 66892 in exponential form is:

66892 = 2² × 7¹ × 2389¹

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 66892

List of positive integer factors of 66892 that divides 66885 without a remainder.

1, 2, 4, 7, 14, 28, 2389, 4778, 9556, 16723, 33446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66885 and 66892. The biggest common factor number is the GCF number.
So the greatest common factor 66885 and 66892 is 7.

Also check out the Least Common Multiple of 66885 and 66892