What is the Greatest Common Factor of 96209 and 96226?

Greatest common factor (GCF) of 96209 and 96226 is 1.

GCF(96209,96226) = 1

We will now calculate the prime factors of 96209 and 96226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96209 and 96226.

How to find the GCF of 96209 and 96226?

We will first find the prime factorization of 96209 and 96226. After we will calculate the factors of 96209 and 96226 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 96226

Prime factors of 96226 are 2, 13, 3701. Prime factorization of 96226 in exponential form is:

96226 = 2¹ × 13¹ × 3701¹

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 96226

List of positive integer factors of 96226 that divides 96209 without a remainder.

1, 2, 13, 26, 3701, 7402, 48113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96209 and 96226. The biggest common factor number is the GCF number.
So the greatest common factor 96209 and 96226 is 1.

Also check out the Least Common Multiple of 96209 and 96226