What is the Greatest Common Factor of 97376 and 97393?

Greatest common factor (GCF) of 97376 and 97393 is 17.

GCF(97376,97393) = 17

We will now calculate the prime factors of 97376 and 97393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97376 and 97393.

How to find the GCF of 97376 and 97393?

We will first find the prime factorization of 97376 and 97393. After we will calculate the factors of 97376 and 97393 and find the biggest common factor number .

Step-1: Prime Factorization of 97376

Prime factors of 97376 are 2, 17, 179. Prime factorization of 97376 in exponential form is:

97376 = 2⁵ × 17¹ × 179¹

Step-2: Prime Factorization of 97393

Prime factors of 97393 are 17, 337. Prime factorization of 97393 in exponential form is:

97393 = 17² × 337¹

Step-3: Factors of 97376

List of positive integer factors of 97376 that divides 97376 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 179, 272, 358, 544, 716, 1432, 2864, 3043, 5728, 6086, 12172, 24344, 48688

Step-4: Factors of 97393

List of positive integer factors of 97393 that divides 97376 without a remainder.

1, 17, 289, 337, 5729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97376 and 97393. The biggest common factor number is the GCF number.
So the greatest common factor 97376 and 97393 is 17.

Also check out the Least Common Multiple of 97376 and 97393