What is the Greatest Common Factor of 96720 and 96733?

Greatest common factor (GCF) of 96720 and 96733 is 13.

GCF(96720,96733) = 13

We will now calculate the prime factors of 96720 and 96733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96720 and 96733.

How to find the GCF of 96720 and 96733?

We will first find the prime factorization of 96720 and 96733. After we will calculate the factors of 96720 and 96733 and find the biggest common factor number .

Step-1: Prime Factorization of 96720

Prime factors of 96720 are 2, 3, 5, 13, 31. Prime factorization of 96720 in exponential form is:

96720 = 2⁴ × 3¹ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 96733

Prime factors of 96733 are 7, 13, 1063. Prime factorization of 96733 in exponential form is:

96733 = 7¹ × 13¹ × 1063¹

Step-3: Factors of 96720

List of positive integer factors of 96720 that divides 96720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 31, 39, 40, 48, 52, 60, 62, 65, 78, 80, 93, 104, 120, 124, 130, 155, 156, 186, 195, 208, 240, 248, 260, 310, 312, 372, 390, 403, 465, 496, 520, 620, 624, 744, 780, 806, 930, 1040, 1209, 1240, 1488, 1560, 1612, 1860, 2015, 2418, 2480, 3120, 3224, 3720, 4030, 4836, 6045, 6448, 7440, 8060, 9672, 12090, 16120, 19344, 24180, 32240, 48360

Step-4: Factors of 96733

List of positive integer factors of 96733 that divides 96720 without a remainder.

1, 7, 13, 91, 1063, 7441, 13819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96720 and 96733. The biggest common factor number is the GCF number.
So the greatest common factor 96720 and 96733 is 13.

Also check out the Least Common Multiple of 96720 and 96733