What is the Greatest Common Factor of 97376 and 97392?

Greatest common factor (GCF) of 97376 and 97392 is 16.

GCF(97376,97392) = 16

We will now calculate the prime factors of 97376 and 97392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97376 and 97392.

How to find the GCF of 97376 and 97392?

We will first find the prime factorization of 97376 and 97392. After we will calculate the factors of 97376 and 97392 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 97392

Prime factors of 97392 are 2, 3, 2029. Prime factorization of 97392 in exponential form is:

97392 = 2⁴ × 3¹ × 2029¹

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 97392

List of positive integer factors of 97392 that divides 97376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2029, 4058, 6087, 8116, 12174, 16232, 24348, 32464, 48696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97376 and 97392. The biggest common factor number is the GCF number.
So the greatest common factor 97376 and 97392 is 16.

Also check out the Least Common Multiple of 97376 and 97392