What is the Greatest Common Factor of 97804 and 97814?

Greatest common factor (GCF) of 97804 and 97814 is 2.

GCF(97804,97814) = 2

We will now calculate the prime factors of 97804 and 97814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97804 and 97814.

How to find the GCF of 97804 and 97814?

We will first find the prime factorization of 97804 and 97814. After we will calculate the factors of 97804 and 97814 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 97814

Prime factors of 97814 are 2, 48907. Prime factorization of 97814 in exponential form is:

97814 = 2¹ × 48907¹

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 97814

List of positive integer factors of 97814 that divides 97804 without a remainder.

1, 2, 48907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97804 and 97814. The biggest common factor number is the GCF number.
So the greatest common factor 97804 and 97814 is 2.

Also check out the Least Common Multiple of 97804 and 97814