What is the Greatest Common Factor of 66006 and 66025?

Greatest common factor (GCF) of 66006 and 66025 is 19.

GCF(66006,66025) = 19

We will now calculate the prime factors of 66006 and 66025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66006 and 66025.

How to find the GCF of 66006 and 66025?

We will first find the prime factorization of 66006 and 66025. After we will calculate the factors of 66006 and 66025 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66025

Prime factors of 66025 are 5, 19, 139. Prime factorization of 66025 in exponential form is:

66025 = 5² × 19¹ × 139¹

Step-3: Factors of 66006

List of positive integer factors of 66006 that divides 66006 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

Step-4: Factors of 66025

List of positive integer factors of 66025 that divides 66006 without a remainder.

1, 5, 19, 25, 95, 139, 475, 695, 2641, 3475, 13205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66006 and 66025. The biggest common factor number is the GCF number.
So the greatest common factor 66006 and 66025 is 19.

Also check out the Least Common Multiple of 66006 and 66025