What is the Greatest Common Factor of 97798 and 97816?

Greatest common factor (GCF) of 97798 and 97816 is 2.

GCF(97798,97816) = 2

We will now calculate the prime factors of 97798 and 97816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97798 and 97816.

How to find the GCF of 97798 and 97816?

We will first find the prime factorization of 97798 and 97816. After we will calculate the factors of 97798 and 97816 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 97816

Prime factors of 97816 are 2, 12227. Prime factorization of 97816 in exponential form is:

97816 = 2³ × 12227¹

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 97816

List of positive integer factors of 97816 that divides 97798 without a remainder.

1, 2, 4, 8, 12227, 24454, 48908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97798 and 97816. The biggest common factor number is the GCF number.
So the greatest common factor 97798 and 97816 is 2.

Also check out the Least Common Multiple of 97798 and 97816