What is the Greatest Common Factor of 97335 and 97351?

Greatest common factor (GCF) of 97335 and 97351 is 1.

GCF(97335,97351) = 1

We will now calculate the prime factors of 97335 and 97351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97335 and 97351.

How to find the GCF of 97335 and 97351?

We will first find the prime factorization of 97335 and 97351. After we will calculate the factors of 97335 and 97351 and find the biggest common factor number .

Step-1: Prime Factorization of 97335

Prime factors of 97335 are 3, 5, 7, 103. Prime factorization of 97335 in exponential form is:

97335 = 3³ × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 97351

Prime factors of 97351 are 67, 1453. Prime factorization of 97351 in exponential form is:

97351 = 67¹ × 1453¹

Step-3: Factors of 97335

List of positive integer factors of 97335 that divides 97335 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 103, 105, 135, 189, 309, 315, 515, 721, 927, 945, 1545, 2163, 2781, 3605, 4635, 6489, 10815, 13905, 19467, 32445

Step-4: Factors of 97351

List of positive integer factors of 97351 that divides 97335 without a remainder.

1, 67, 1453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97335 and 97351. The biggest common factor number is the GCF number.
So the greatest common factor 97335 and 97351 is 1.

Also check out the Least Common Multiple of 97335 and 97351