What is the Greatest Common Factor of 97425 and 97433?

Greatest common factor (GCF) of 97425 and 97433 is 1.

GCF(97425,97433) = 1

We will now calculate the prime factors of 97425 and 97433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97425 and 97433.

How to find the GCF of 97425 and 97433?

We will first find the prime factorization of 97425 and 97433. After we will calculate the factors of 97425 and 97433 and find the biggest common factor number .

Step-1: Prime Factorization of 97425

Prime factors of 97425 are 3, 5, 433. Prime factorization of 97425 in exponential form is:

97425 = 3² × 5² × 433¹

Step-2: Prime Factorization of 97433

Prime factors of 97433 are 7, 31, 449. Prime factorization of 97433 in exponential form is:

97433 = 7¹ × 31¹ × 449¹

Step-3: Factors of 97425

List of positive integer factors of 97425 that divides 97425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 433, 1299, 2165, 3897, 6495, 10825, 19485, 32475

Step-4: Factors of 97433

List of positive integer factors of 97433 that divides 97425 without a remainder.

1, 7, 31, 217, 449, 3143, 13919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97425 and 97433. The biggest common factor number is the GCF number.
So the greatest common factor 97425 and 97433 is 1.

Also check out the Least Common Multiple of 97425 and 97433