What is the Greatest Common Factor of 97225 and 97239?

Greatest common factor (GCF) of 97225 and 97239 is 1.

GCF(97225,97239) = 1

We will now calculate the prime factors of 97225 and 97239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97225 and 97239.

How to find the GCF of 97225 and 97239?

We will first find the prime factorization of 97225 and 97239. After we will calculate the factors of 97225 and 97239 and find the biggest common factor number .

Step-1: Prime Factorization of 97225

Prime factors of 97225 are 5, 3889. Prime factorization of 97225 in exponential form is:

97225 = 5² × 3889¹

Step-2: Prime Factorization of 97239

Prime factors of 97239 are 3, 32413. Prime factorization of 97239 in exponential form is:

97239 = 3¹ × 32413¹

Step-3: Factors of 97225

List of positive integer factors of 97225 that divides 97225 without a remainder.

1, 5, 25, 3889, 19445

Step-4: Factors of 97239

List of positive integer factors of 97239 that divides 97225 without a remainder.

1, 3, 32413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97225 and 97239. The biggest common factor number is the GCF number.
So the greatest common factor 97225 and 97239 is 1.

Also check out the Least Common Multiple of 97225 and 97239