What is the Greatest Common Factor of 97680 and 97690?

Greatest common factor (GCF) of 97680 and 97690 is 10.

GCF(97680,97690) = 10

We will now calculate the prime factors of 97680 and 97690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97680 and 97690.

How to find the GCF of 97680 and 97690?

We will first find the prime factorization of 97680 and 97690. After we will calculate the factors of 97680 and 97690 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 97690

Prime factors of 97690 are 2, 5, 9769. Prime factorization of 97690 in exponential form is:

97690 = 2¹ × 5¹ × 9769¹

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 97690

List of positive integer factors of 97690 that divides 97680 without a remainder.

1, 2, 5, 10, 9769, 19538, 48845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97680 and 97690. The biggest common factor number is the GCF number.
So the greatest common factor 97680 and 97690 is 10.

Also check out the Least Common Multiple of 97680 and 97690