What is the Greatest Common Factor of 97792 and 97808?

Greatest common factor (GCF) of 97792 and 97808 is 16.

GCF(97792,97808) = 16

We will now calculate the prime factors of 97792 and 97808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97792 and 97808.

How to find the GCF of 97792 and 97808?

We will first find the prime factorization of 97792 and 97808. After we will calculate the factors of 97792 and 97808 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 97808

Prime factors of 97808 are 2, 6113. Prime factorization of 97808 in exponential form is:

97808 = 2⁴ × 6113¹

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 97808

List of positive integer factors of 97808 that divides 97792 without a remainder.

1, 2, 4, 8, 16, 6113, 12226, 24452, 48904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97792 and 97808. The biggest common factor number is the GCF number.
So the greatest common factor 97792 and 97808 is 16.

Also check out the Least Common Multiple of 97792 and 97808