What is the Greatest Common Factor of 97376 and 97395?

Greatest common factor (GCF) of 97376 and 97395 is 1.

GCF(97376,97395) = 1

We will now calculate the prime factors of 97376 and 97395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97376 and 97395.

How to find the GCF of 97376 and 97395?

We will first find the prime factorization of 97376 and 97395. After we will calculate the factors of 97376 and 97395 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 97395

Prime factors of 97395 are 3, 5, 43, 151. Prime factorization of 97395 in exponential form is:

97395 = 3¹ × 5¹ × 43¹ × 151¹

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 97395

List of positive integer factors of 97395 that divides 97376 without a remainder.

1, 3, 5, 15, 43, 129, 151, 215, 453, 645, 755, 2265, 6493, 19479, 32465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97376 and 97395. The biggest common factor number is the GCF number.
So the greatest common factor 97376 and 97395 is 1.

Also check out the Least Common Multiple of 97376 and 97395