What is the Greatest Common Factor of 97660 and 97680?

Greatest common factor (GCF) of 97660 and 97680 is 20.

GCF(97660,97680) = 20

We will now calculate the prime factors of 97660 and 97680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97660 and 97680.

How to find the GCF of 97660 and 97680?

We will first find the prime factorization of 97660 and 97680. After we will calculate the factors of 97660 and 97680 and find the biggest common factor number .

Step-1: Prime Factorization of 97660

Prime factors of 97660 are 2, 5, 19, 257. Prime factorization of 97660 in exponential form is:

97660 = 2² × 5¹ × 19¹ × 257¹

Step-2: 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-3: Factors of 97660

List of positive integer factors of 97660 that divides 97660 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 257, 380, 514, 1028, 1285, 2570, 4883, 5140, 9766, 19532, 24415, 48830

Step-4: Factors of 97680

List of positive integer factors of 97680 that divides 97660 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97660 and 97680. The biggest common factor number is the GCF number.
So the greatest common factor 97660 and 97680 is 20.

Also check out the Least Common Multiple of 97660 and 97680