What is the Greatest Common Factor of 96320 and 96324?

Greatest common factor (GCF) of 96320 and 96324 is 4.

GCF(96320,96324) = 4

We will now calculate the prime factors of 96320 and 96324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96320 and 96324.

How to find the GCF of 96320 and 96324?

We will first find the prime factorization of 96320 and 96324. After we will calculate the factors of 96320 and 96324 and find the biggest common factor number .

Step-1: Prime Factorization of 96320

Prime factors of 96320 are 2, 5, 7, 43. Prime factorization of 96320 in exponential form is:

96320 = 2⁶ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 96324

Prime factors of 96324 are 2, 3, 23, 349. Prime factorization of 96324 in exponential form is:

96324 = 2² × 3¹ × 23¹ × 349¹

Step-3: Factors of 96320

List of positive integer factors of 96320 that divides 96320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 43, 56, 64, 70, 80, 86, 112, 140, 160, 172, 215, 224, 280, 301, 320, 344, 430, 448, 560, 602, 688, 860, 1120, 1204, 1376, 1505, 1720, 2240, 2408, 2752, 3010, 3440, 4816, 6020, 6880, 9632, 12040, 13760, 19264, 24080, 48160

Step-4: Factors of 96324

List of positive integer factors of 96324 that divides 96320 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 349, 698, 1047, 1396, 2094, 4188, 8027, 16054, 24081, 32108, 48162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96320 and 96324. The biggest common factor number is the GCF number.
So the greatest common factor 96320 and 96324 is 4.

Also check out the Least Common Multiple of 96320 and 96324