What is the Greatest Common Factor of 97226 and 97231?

Greatest common factor (GCF) of 97226 and 97231 is 1.

GCF(97226,97231) = 1

We will now calculate the prime factors of 97226 and 97231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97226 and 97231.

How to find the GCF of 97226 and 97231?

We will first find the prime factorization of 97226 and 97231. After we will calculate the factors of 97226 and 97231 and find the biggest common factor number .

Step-1: Prime Factorization of 97226

Prime factors of 97226 are 2, 173, 281. Prime factorization of 97226 in exponential form is:

97226 = 2¹ × 173¹ × 281¹

Step-2: Prime Factorization of 97231

Prime factors of 97231 are 97231. Prime factorization of 97231 in exponential form is:

97231 = 97231¹

Step-3: Factors of 97226

List of positive integer factors of 97226 that divides 97226 without a remainder.

1, 2, 173, 281, 346, 562, 48613

Step-4: Factors of 97231

List of positive integer factors of 97231 that divides 97226 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97226 and 97231. The biggest common factor number is the GCF number.
So the greatest common factor 97226 and 97231 is 1.

Also check out the Least Common Multiple of 97226 and 97231