What is the Greatest Common Factor of 96720 and 96740?

Greatest common factor (GCF) of 96720 and 96740 is 20.

GCF(96720,96740) = 20

We will now calculate the prime factors of 96720 and 96740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96720 and 96740.

How to find the GCF of 96720 and 96740?

We will first find the prime factorization of 96720 and 96740. After we will calculate the factors of 96720 and 96740 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 96740

Prime factors of 96740 are 2, 5, 7, 691. Prime factorization of 96740 in exponential form is:

96740 = 2² × 5¹ × 7¹ × 691¹

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 96740

List of positive integer factors of 96740 that divides 96720 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 691, 1382, 2764, 3455, 4837, 6910, 9674, 13820, 19348, 24185, 48370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96720 and 96740. The biggest common factor number is the GCF number.
So the greatest common factor 96720 and 96740 is 20.

Also check out the Least Common Multiple of 96720 and 96740