What is the Greatest Common Factor of 97680 and 97698?

Greatest common factor (GCF) of 97680 and 97698 is 6.

GCF(97680,97698) = 6

We will now calculate the prime factors of 97680 and 97698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97680 and 97698.

How to find the GCF of 97680 and 97698?

We will first find the prime factorization of 97680 and 97698. After we will calculate the factors of 97680 and 97698 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 97698

Prime factors of 97698 are 2, 3, 19, 857. Prime factorization of 97698 in exponential form is:

97698 = 2¹ × 3¹ × 19¹ × 857¹

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 97698

List of positive integer factors of 97698 that divides 97680 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 857, 1714, 2571, 5142, 16283, 32566, 48849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97680 and 97698. The biggest common factor number is the GCF number.
So the greatest common factor 97680 and 97698 is 6.

Also check out the Least Common Multiple of 97680 and 97698