What is the Greatest Common Factor of 66009 and 66024?

Greatest common factor (GCF) of 66009 and 66024 is 3.

GCF(66009,66024) = 3

We will now calculate the prime factors of 66009 and 66024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66009 and 66024.

How to find the GCF of 66009 and 66024?

We will first find the prime factorization of 66009 and 66024. After we will calculate the factors of 66009 and 66024 and find the biggest common factor number .

Step-1: Prime Factorization of 66009

Prime factors of 66009 are 3, 22003. Prime factorization of 66009 in exponential form is:

66009 = 3¹ × 22003¹

Step-2: Prime Factorization of 66024

Prime factors of 66024 are 2, 3, 7, 131. Prime factorization of 66024 in exponential form is:

66024 = 2³ × 3² × 7¹ × 131¹

Step-3: Factors of 66009

List of positive integer factors of 66009 that divides 66009 without a remainder.

1, 3, 22003

Step-4: Factors of 66024

List of positive integer factors of 66024 that divides 66009 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 131, 168, 252, 262, 393, 504, 524, 786, 917, 1048, 1179, 1572, 1834, 2358, 2751, 3144, 3668, 4716, 5502, 7336, 8253, 9432, 11004, 16506, 22008, 33012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66009 and 66024. The biggest common factor number is the GCF number.
So the greatest common factor 66009 and 66024 is 3.

Also check out the Least Common Multiple of 66009 and 66024