What is the Greatest Common Factor of 97324 and 97344?

Greatest common factor (GCF) of 97324 and 97344 is 4.

GCF(97324,97344) = 4

We will now calculate the prime factors of 97324 and 97344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97324 and 97344.

How to find the GCF of 97324 and 97344?

We will first find the prime factorization of 97324 and 97344. After we will calculate the factors of 97324 and 97344 and find the biggest common factor number .

Step-1: Prime Factorization of 97324

Prime factors of 97324 are 2, 29, 839. Prime factorization of 97324 in exponential form is:

97324 = 2² × 29¹ × 839¹

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 97324

List of positive integer factors of 97324 that divides 97324 without a remainder.

1, 2, 4, 29, 58, 116, 839, 1678, 3356, 24331, 48662

Step-4: Factors of 97344

List of positive integer factors of 97344 that divides 97324 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 97324 and 97344. The biggest common factor number is the GCF number.
So the greatest common factor 97324 and 97344 is 4.

Also check out the Least Common Multiple of 97324 and 97344