What is the Greatest Common Factor of 65987 and 66006?

Greatest common factor (GCF) of 65987 and 66006 is 19.

GCF(65987,66006) = 19

We will now calculate the prime factors of 65987 and 66006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65987 and 66006.

How to find the GCF of 65987 and 66006?

We will first find the prime factorization of 65987 and 66006. After we will calculate the factors of 65987 and 66006 and find the biggest common factor number .

Step-1: Prime Factorization of 65987

Prime factors of 65987 are 19, 23, 151. Prime factorization of 65987 in exponential form is:

65987 = 19¹ × 23¹ × 151¹

Step-2: Prime Factorization of 66006

Prime factors of 66006 are 2, 3, 19, 193. Prime factorization of 66006 in exponential form is:

66006 = 2¹ × 3² × 19¹ × 193¹

Step-3: Factors of 65987

List of positive integer factors of 65987 that divides 65987 without a remainder.

1, 19, 23, 151, 437, 2869, 3473

Step-4: Factors of 66006

List of positive integer factors of 66006 that divides 65987 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 193, 342, 386, 579, 1158, 1737, 3474, 3667, 7334, 11001, 22002, 33003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65987 and 66006. The biggest common factor number is the GCF number.
So the greatest common factor 65987 and 66006 is 19.

Also check out the Least Common Multiple of 65987 and 66006