What is the Greatest Common Factor of 97321 and 97335?

Greatest common factor (GCF) of 97321 and 97335 is 7.

GCF(97321,97335) = 7

We will now calculate the prime factors of 97321 and 97335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97321 and 97335.

How to find the GCF of 97321 and 97335?

We will first find the prime factorization of 97321 and 97335. After we will calculate the factors of 97321 and 97335 and find the biggest common factor number .

Step-1: Prime Factorization of 97321

Prime factors of 97321 are 7, 13903. Prime factorization of 97321 in exponential form is:

97321 = 7¹ × 13903¹

Step-2: 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-3: Factors of 97321

List of positive integer factors of 97321 that divides 97321 without a remainder.

1, 7, 13903

Step-4: Factors of 97335

List of positive integer factors of 97335 that divides 97321 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97321 and 97335. The biggest common factor number is the GCF number.
So the greatest common factor 97321 and 97335 is 7.

Also check out the Least Common Multiple of 97321 and 97335