What is the Greatest Common Factor of 97804 and 97808?

Greatest common factor (GCF) of 97804 and 97808 is 4.

GCF(97804,97808) = 4

We will now calculate the prime factors of 97804 and 97808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97804 and 97808.

How to find the GCF of 97804 and 97808?

We will first find the prime factorization of 97804 and 97808. After we will calculate the factors of 97804 and 97808 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 97808

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

97808 = 2⁴ × 6113¹

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 97808

List of positive integer factors of 97808 that divides 97804 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 97804 and 97808. The biggest common factor number is the GCF number.
So the greatest common factor 97804 and 97808 is 4.

Also check out the Least Common Multiple of 97804 and 97808