What is the Greatest Common Factor of 97680 and 97700?

Greatest common factor (GCF) of 97680 and 97700 is 20.

GCF(97680,97700) = 20

We will now calculate the prime factors of 97680 and 97700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97680 and 97700.

How to find the GCF of 97680 and 97700?

We will first find the prime factorization of 97680 and 97700. After we will calculate the factors of 97680 and 97700 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 97700

Prime factors of 97700 are 2, 5, 977. Prime factorization of 97700 in exponential form is:

97700 = 2² × 5² × 977¹

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 97700

List of positive integer factors of 97700 that divides 97680 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 977, 1954, 3908, 4885, 9770, 19540, 24425, 48850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97680 and 97700. The biggest common factor number is the GCF number.
So the greatest common factor 97680 and 97700 is 20.

Also check out the Least Common Multiple of 97680 and 97700