What is the Greatest Common Factor of 75209 and 75224?

Greatest common factor (GCF) of 75209 and 75224 is 1.

GCF(75209,75224) = 1

We will now calculate the prime factors of 75209 and 75224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75209 and 75224.

How to find the GCF of 75209 and 75224?

We will first find the prime factorization of 75209 and 75224. After we will calculate the factors of 75209 and 75224 and find the biggest common factor number .

Step-1: Prime Factorization of 75209

Prime factors of 75209 are 75209. Prime factorization of 75209 in exponential form is:

75209 = 75209¹

Step-2: Prime Factorization of 75224

Prime factors of 75224 are 2, 9403. Prime factorization of 75224 in exponential form is:

75224 = 2³ × 9403¹

Step-3: Factors of 75209

List of positive integer factors of 75209 that divides 75209 without a remainder.

Step-4: Factors of 75224

List of positive integer factors of 75224 that divides 75209 without a remainder.

1, 2, 4, 8, 9403, 18806, 37612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75209 and 75224. The biggest common factor number is the GCF number.
So the greatest common factor 75209 and 75224 is 1.

Also check out the Least Common Multiple of 75209 and 75224