What is the Greatest Common Factor of 97798 and 97809?

Greatest common factor (GCF) of 97798 and 97809 is 1.

GCF(97798,97809) = 1

We will now calculate the prime factors of 97798 and 97809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97798 and 97809.

How to find the GCF of 97798 and 97809?

We will first find the prime factorization of 97798 and 97809. After we will calculate the factors of 97798 and 97809 and find the biggest common factor number .

Step-1: Prime Factorization of 97798

Prime factors of 97798 are 2, 107, 457. Prime factorization of 97798 in exponential form is:

97798 = 2¹ × 107¹ × 457¹

Step-2: Prime Factorization of 97809

Prime factors of 97809 are 3, 32603. Prime factorization of 97809 in exponential form is:

97809 = 3¹ × 32603¹

Step-3: Factors of 97798

List of positive integer factors of 97798 that divides 97798 without a remainder.

1, 2, 107, 214, 457, 914, 48899

Step-4: Factors of 97809

List of positive integer factors of 97809 that divides 97798 without a remainder.

1, 3, 32603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97798 and 97809. The biggest common factor number is the GCF number.
So the greatest common factor 97798 and 97809 is 1.

Also check out the Least Common Multiple of 97798 and 97809