What is the Greatest Common Factor of 97325 and 97344?

Greatest common factor (GCF) of 97325 and 97344 is 1.

GCF(97325,97344) = 1

We will now calculate the prime factors of 97325 and 97344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97325 and 97344.

How to find the GCF of 97325 and 97344?

We will first find the prime factorization of 97325 and 97344. After we will calculate the factors of 97325 and 97344 and find the biggest common factor number .

Step-1: Prime Factorization of 97325

Prime factors of 97325 are 5, 17, 229. Prime factorization of 97325 in exponential form is:

97325 = 5² × 17¹ × 229¹

Step-2: Prime Factorization of 97344

Prime factors of 97344 are 2, 3, 13. Prime factorization of 97344 in exponential form is:

97344 = 2⁶ × 3² × 13²

Step-3: Factors of 97325

List of positive integer factors of 97325 that divides 97325 without a remainder.

1, 5, 17, 25, 85, 229, 425, 1145, 3893, 5725, 19465

Step-4: Factors of 97344

List of positive integer factors of 97344 that divides 97325 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 169, 192, 208, 234, 288, 312, 338, 416, 468, 507, 576, 624, 676, 832, 936, 1014, 1248, 1352, 1521, 1872, 2028, 2496, 2704, 3042, 3744, 4056, 5408, 6084, 7488, 8112, 10816, 12168, 16224, 24336, 32448, 48672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97325 and 97344. The biggest common factor number is the GCF number.
So the greatest common factor 97325 and 97344 is 1.

Also check out the Least Common Multiple of 97325 and 97344