What is the Greatest Common Factor of 75005 and 75009?

Greatest common factor (GCF) of 75005 and 75009 is 1.

GCF(75005,75009) = 1

We will now calculate the prime factors of 75005 and 75009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75005 and 75009.

How to find the GCF of 75005 and 75009?

We will first find the prime factorization of 75005 and 75009. After we will calculate the factors of 75005 and 75009 and find the biggest common factor number .

Step-1: Prime Factorization of 75005

Prime factors of 75005 are 5, 7, 2143. Prime factorization of 75005 in exponential form is:

75005 = 5¹ × 7¹ × 2143¹

Step-2: 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-3: Factors of 75005

List of positive integer factors of 75005 that divides 75005 without a remainder.

1, 5, 7, 35, 2143, 10715, 15001

Step-4: Factors of 75009

List of positive integer factors of 75009 that divides 75005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75005 and 75009. The biggest common factor number is the GCF number.
So the greatest common factor 75005 and 75009 is 1.

Also check out the Least Common Multiple of 75005 and 75009