What is the Greatest Common Factor of 97364 and 97376?

Greatest common factor (GCF) of 97364 and 97376 is 4.

GCF(97364,97376) = 4

We will now calculate the prime factors of 97364 and 97376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97364 and 97376.

How to find the GCF of 97364 and 97376?

We will first find the prime factorization of 97364 and 97376. After we will calculate the factors of 97364 and 97376 and find the biggest common factor number .

Step-1: Prime Factorization of 97364

Prime factors of 97364 are 2, 101, 241. Prime factorization of 97364 in exponential form is:

97364 = 2² × 101¹ × 241¹

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 97364

List of positive integer factors of 97364 that divides 97364 without a remainder.

1, 2, 4, 101, 202, 241, 404, 482, 964, 24341, 48682

Step-4: Factors of 97376

List of positive integer factors of 97376 that divides 97364 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 97364 and 97376. The biggest common factor number is the GCF number.
So the greatest common factor 97364 and 97376 is 4.

Also check out the Least Common Multiple of 97364 and 97376