What is the Greatest Common Factor of 75009 and 75029?

Greatest common factor (GCF) of 75009 and 75029 is 1.

GCF(75009,75029) = 1

We will now calculate the prime factors of 75009 and 75029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75009 and 75029.

How to find the GCF of 75009 and 75029?

We will first find the prime factorization of 75009 and 75029. After we will calculate the factors of 75009 and 75029 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 75029

Prime factors of 75029 are 75029. Prime factorization of 75029 in exponential form is:

75029 = 75029¹

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 75029

List of positive integer factors of 75029 that divides 75009 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75009 and 75029. The biggest common factor number is the GCF number.
So the greatest common factor 75009 and 75029 is 1.

Also check out the Least Common Multiple of 75009 and 75029