What is the Greatest Common Factor of 96209 and 96225?

Greatest common factor (GCF) of 96209 and 96225 is 1.

GCF(96209,96225) = 1

We will now calculate the prime factors of 96209 and 96225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96209 and 96225.

How to find the GCF of 96209 and 96225?

We will first find the prime factorization of 96209 and 96225. After we will calculate the factors of 96209 and 96225 and find the biggest common factor number .

Step-1: Prime Factorization of 96209

Prime factors of 96209 are 23, 47, 89. Prime factorization of 96209 in exponential form is:

96209 = 23¹ × 47¹ × 89¹

Step-2: Prime Factorization of 96225

Prime factors of 96225 are 3, 5, 1283. Prime factorization of 96225 in exponential form is:

96225 = 3¹ × 5² × 1283¹

Step-3: Factors of 96209

List of positive integer factors of 96209 that divides 96209 without a remainder.

1, 23, 47, 89, 1081, 2047, 4183

Step-4: Factors of 96225

List of positive integer factors of 96225 that divides 96209 without a remainder.

1, 3, 5, 15, 25, 75, 1283, 3849, 6415, 19245, 32075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96209 and 96225. The biggest common factor number is the GCF number.
So the greatest common factor 96209 and 96225 is 1.

Also check out the Least Common Multiple of 96209 and 96225