What is the Greatest Common Factor of 97804 and 97824?

Greatest common factor (GCF) of 97804 and 97824 is 4.

GCF(97804,97824) = 4

We will now calculate the prime factors of 97804 and 97824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97804 and 97824.

How to find the GCF of 97804 and 97824?

We will first find the prime factorization of 97804 and 97824. After we will calculate the factors of 97804 and 97824 and find the biggest common factor number .

Step-1: Prime Factorization of 97804

Prime factors of 97804 are 2, 7, 499. Prime factorization of 97804 in exponential form is:

97804 = 2² × 7² × 499¹

Step-2: Prime Factorization of 97824

Prime factors of 97824 are 2, 3, 1019. Prime factorization of 97824 in exponential form is:

97824 = 2⁵ × 3¹ × 1019¹

Step-3: Factors of 97804

List of positive integer factors of 97804 that divides 97804 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 499, 998, 1996, 3493, 6986, 13972, 24451, 48902

Step-4: Factors of 97824

List of positive integer factors of 97824 that divides 97804 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1019, 2038, 3057, 4076, 6114, 8152, 12228, 16304, 24456, 32608, 48912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97804 and 97824. The biggest common factor number is the GCF number.
So the greatest common factor 97804 and 97824 is 4.

Also check out the Least Common Multiple of 97804 and 97824