What is the Greatest Common Factor of 97344 and 97364?

Greatest common factor (GCF) of 97344 and 97364 is 4.

GCF(97344,97364) = 4

We will now calculate the prime factors of 97344 and 97364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97344 and 97364.

How to find the GCF of 97344 and 97364?

We will first find the prime factorization of 97344 and 97364. After we will calculate the factors of 97344 and 97364 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 97344

List of positive integer factors of 97344 that divides 97344 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

Step-4: Factors of 97364

List of positive integer factors of 97364 that divides 97344 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97344 and 97364. The biggest common factor number is the GCF number.
So the greatest common factor 97344 and 97364 is 4.

Also check out the Least Common Multiple of 97344 and 97364