What is the Greatest Common Factor of 96720 and 96728?

Greatest common factor (GCF) of 96720 and 96728 is 8.

GCF(96720,96728) = 8

We will now calculate the prime factors of 96720 and 96728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96720 and 96728.

How to find the GCF of 96720 and 96728?

We will first find the prime factorization of 96720 and 96728. After we will calculate the factors of 96720 and 96728 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 96728

Prime factors of 96728 are 2, 107, 113. Prime factorization of 96728 in exponential form is:

96728 = 2³ × 107¹ × 113¹

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 96728

List of positive integer factors of 96728 that divides 96720 without a remainder.

1, 2, 4, 8, 107, 113, 214, 226, 428, 452, 856, 904, 12091, 24182, 48364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96720 and 96728. The biggest common factor number is the GCF number.
So the greatest common factor 96720 and 96728 is 8.

Also check out the Least Common Multiple of 96720 and 96728