What is the Greatest Common Factor of 75009 and 75027?

Greatest common factor (GCF) of 75009 and 75027 is 3.

GCF(75009,75027) = 3

We will now calculate the prime factors of 75009 and 75027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75009 and 75027.

How to find the GCF of 75009 and 75027?

We will first find the prime factorization of 75009 and 75027. After we will calculate the factors of 75009 and 75027 and find the biggest common factor number .

Step-1: Prime Factorization of 75009

Prime factors of 75009 are 3, 11, 2273. Prime factorization of 75009 in exponential form is:

75009 = 3¹ × 11¹ × 2273¹

Step-2: Prime Factorization of 75027

Prime factors of 75027 are 3, 89, 281. Prime factorization of 75027 in exponential form is:

75027 = 3¹ × 89¹ × 281¹

Step-3: Factors of 75009

List of positive integer factors of 75009 that divides 75009 without a remainder.

1, 3, 11, 33, 2273, 6819, 25003

Step-4: Factors of 75027

List of positive integer factors of 75027 that divides 75009 without a remainder.

1, 3, 89, 267, 281, 843, 25009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75009 and 75027. The biggest common factor number is the GCF number.
So the greatest common factor 75009 and 75027 is 3.

Also check out the Least Common Multiple of 75009 and 75027