What is the Greatest Common Factor of 97360 and 97376?

Greatest common factor (GCF) of 97360 and 97376 is 16.

GCF(97360,97376) = 16

We will now calculate the prime factors of 97360 and 97376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97360 and 97376.

How to find the GCF of 97360 and 97376?

We will first find the prime factorization of 97360 and 97376. After we will calculate the factors of 97360 and 97376 and find the biggest common factor number .

Step-1: Prime Factorization of 97360

Prime factors of 97360 are 2, 5, 1217. Prime factorization of 97360 in exponential form is:

97360 = 2⁴ × 5¹ × 1217¹

Step-2: 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-3: Factors of 97360

List of positive integer factors of 97360 that divides 97360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1217, 2434, 4868, 6085, 9736, 12170, 19472, 24340, 48680

Step-4: Factors of 97376

List of positive integer factors of 97376 that divides 97360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97360 and 97376. The biggest common factor number is the GCF number.
So the greatest common factor 97360 and 97376 is 16.

Also check out the Least Common Multiple of 97360 and 97376