What is the Greatest Common Factor of 97680 and 97689?

Greatest common factor (GCF) of 97680 and 97689 is 3.

GCF(97680,97689) = 3

We will now calculate the prime factors of 97680 and 97689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97680 and 97689.

How to find the GCF of 97680 and 97689?

We will first find the prime factorization of 97680 and 97689. After we will calculate the factors of 97680 and 97689 and find the biggest common factor number .

Step-1: Prime Factorization of 97680

Prime factors of 97680 are 2, 3, 5, 11, 37. Prime factorization of 97680 in exponential form is:

97680 = 2⁴ × 3¹ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 97689

Prime factors of 97689 are 3, 32563. Prime factorization of 97689 in exponential form is:

97689 = 3¹ × 32563¹

Step-3: Factors of 97680

List of positive integer factors of 97680 that divides 97680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 37, 40, 44, 48, 55, 60, 66, 74, 80, 88, 110, 111, 120, 132, 148, 165, 176, 185, 220, 222, 240, 264, 296, 330, 370, 407, 440, 444, 528, 555, 592, 660, 740, 814, 880, 888, 1110, 1221, 1320, 1480, 1628, 1776, 2035, 2220, 2442, 2640, 2960, 3256, 4070, 4440, 4884, 6105, 6512, 8140, 8880, 9768, 12210, 16280, 19536, 24420, 32560, 48840

Step-4: Factors of 97689

List of positive integer factors of 97689 that divides 97680 without a remainder.

1, 3, 32563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97680 and 97689. The biggest common factor number is the GCF number.
So the greatest common factor 97680 and 97689 is 3.

Also check out the Least Common Multiple of 97680 and 97689