What is the Greatest Common Factor of 96313 and 96320?

Greatest common factor (GCF) of 96313 and 96320 is 7.

GCF(96313,96320) = 7

We will now calculate the prime factors of 96313 and 96320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96313 and 96320.

How to find the GCF of 96313 and 96320?

We will first find the prime factorization of 96313 and 96320. After we will calculate the factors of 96313 and 96320 and find the biggest common factor number .

Step-1: Prime Factorization of 96313

Prime factors of 96313 are 7, 13759. Prime factorization of 96313 in exponential form is:

96313 = 7¹ × 13759¹

Step-2: 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-3: Factors of 96313

List of positive integer factors of 96313 that divides 96313 without a remainder.

1, 7, 13759

Step-4: Factors of 96320

List of positive integer factors of 96320 that divides 96313 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96313 and 96320. The biggest common factor number is the GCF number.
So the greatest common factor 96313 and 96320 is 7.

Also check out the Least Common Multiple of 96313 and 96320