What is the Greatest Common Factor of 97792 and 97798?

Greatest common factor (GCF) of 97792 and 97798 is 2.

GCF(97792,97798) = 2

We will now calculate the prime factors of 97792 and 97798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97792 and 97798.

How to find the GCF of 97792 and 97798?

We will first find the prime factorization of 97792 and 97798. After we will calculate the factors of 97792 and 97798 and find the biggest common factor number .

Step-1: Prime Factorization of 97792

Prime factors of 97792 are 2, 191. Prime factorization of 97792 in exponential form is:

97792 = 2⁹ × 191¹

Step-2: 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-3: Factors of 97792

List of positive integer factors of 97792 that divides 97792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 191, 256, 382, 512, 764, 1528, 3056, 6112, 12224, 24448, 48896

Step-4: Factors of 97798

List of positive integer factors of 97798 that divides 97792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97792 and 97798. The biggest common factor number is the GCF number.
So the greatest common factor 97792 and 97798 is 2.

Also check out the Least Common Multiple of 97792 and 97798