What is the Greatest Common Factor of 97338 and 97353?

Greatest common factor (GCF) of 97338 and 97353 is 3.

GCF(97338,97353) = 3

We will now calculate the prime factors of 97338 and 97353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97338 and 97353.

How to find the GCF of 97338 and 97353?

We will first find the prime factorization of 97338 and 97353. After we will calculate the factors of 97338 and 97353 and find the biggest common factor number .

Step-1: Prime Factorization of 97338

Prime factors of 97338 are 2, 3, 16223. Prime factorization of 97338 in exponential form is:

97338 = 2¹ × 3¹ × 16223¹

Step-2: Prime Factorization of 97353

Prime factors of 97353 are 3, 29, 373. Prime factorization of 97353 in exponential form is:

97353 = 3² × 29¹ × 373¹

Step-3: Factors of 97338

List of positive integer factors of 97338 that divides 97338 without a remainder.

1, 2, 3, 6, 16223, 32446, 48669

Step-4: Factors of 97353

List of positive integer factors of 97353 that divides 97338 without a remainder.

1, 3, 9, 29, 87, 261, 373, 1119, 3357, 10817, 32451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97338 and 97353. The biggest common factor number is the GCF number.
So the greatest common factor 97338 and 97353 is 3.

Also check out the Least Common Multiple of 97338 and 97353