What is the Greatest Common Factor of 97306 and 97324?

Greatest common factor (GCF) of 97306 and 97324 is 2.

GCF(97306,97324) = 2

We will now calculate the prime factors of 97306 and 97324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97306 and 97324.

How to find the GCF of 97306 and 97324?

We will first find the prime factorization of 97306 and 97324. After we will calculate the factors of 97306 and 97324 and find the biggest common factor number .

Step-1: Prime Factorization of 97306

Prime factors of 97306 are 2, 11, 4423. Prime factorization of 97306 in exponential form is:

97306 = 2¹ × 11¹ × 4423¹

Step-2: Prime Factorization of 97324

Prime factors of 97324 are 2, 29, 839. Prime factorization of 97324 in exponential form is:

97324 = 2² × 29¹ × 839¹

Step-3: Factors of 97306

List of positive integer factors of 97306 that divides 97306 without a remainder.

1, 2, 11, 22, 4423, 8846, 48653

Step-4: Factors of 97324

List of positive integer factors of 97324 that divides 97306 without a remainder.

1, 2, 4, 29, 58, 116, 839, 1678, 3356, 24331, 48662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97306 and 97324. The biggest common factor number is the GCF number.
So the greatest common factor 97306 and 97324 is 2.

Also check out the Least Common Multiple of 97306 and 97324