What is the Greatest Common Factor of 97680 and 97685?

Greatest common factor (GCF) of 97680 and 97685 is 5.

GCF(97680,97685) = 5

We will now calculate the prime factors of 97680 and 97685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97680 and 97685.

How to find the GCF of 97680 and 97685?

We will first find the prime factorization of 97680 and 97685. After we will calculate the factors of 97680 and 97685 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 97685

Prime factors of 97685 are 5, 7, 2791. Prime factorization of 97685 in exponential form is:

97685 = 5¹ × 7¹ × 2791¹

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 97685

List of positive integer factors of 97685 that divides 97680 without a remainder.

1, 5, 7, 35, 2791, 13955, 19537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97680 and 97685. The biggest common factor number is the GCF number.
So the greatest common factor 97680 and 97685 is 5.

Also check out the Least Common Multiple of 97680 and 97685