What is the Greatest Common Factor of 97335 and 97349?

Greatest common factor (GCF) of 97335 and 97349 is 7.

GCF(97335,97349) = 7

We will now calculate the prime factors of 97335 and 97349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97335 and 97349.

How to find the GCF of 97335 and 97349?

We will first find the prime factorization of 97335 and 97349. After we will calculate the factors of 97335 and 97349 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 97349

Prime factors of 97349 are 7, 13907. Prime factorization of 97349 in exponential form is:

97349 = 7¹ × 13907¹

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 97349

List of positive integer factors of 97349 that divides 97335 without a remainder.

1, 7, 13907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97335 and 97349. The biggest common factor number is the GCF number.
So the greatest common factor 97335 and 97349 is 7.

Also check out the Least Common Multiple of 97335 and 97349