What is the Greatest Common Factor of 66870 and 66885?

Greatest common factor (GCF) of 66870 and 66885 is 15.

GCF(66870,66885) = 15

We will now calculate the prime factors of 66870 and 66885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66870 and 66885.

How to find the GCF of 66870 and 66885?

We will first find the prime factorization of 66870 and 66885. After we will calculate the factors of 66870 and 66885 and find the biggest common factor number .

Step-1: Prime Factorization of 66870

Prime factors of 66870 are 2, 3, 5, 743. Prime factorization of 66870 in exponential form is:

66870 = 2¹ × 3² × 5¹ × 743¹

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 66870

List of positive integer factors of 66870 that divides 66870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 743, 1486, 2229, 3715, 4458, 6687, 7430, 11145, 13374, 22290, 33435

Step-4: Factors of 66885

List of positive integer factors of 66885 that divides 66870 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 66870 and 66885. The biggest common factor number is the GCF number.
So the greatest common factor 66870 and 66885 is 15.

Also check out the Least Common Multiple of 66870 and 66885