What is the Greatest Common Factor of 97675 and 97680?

Greatest common factor (GCF) of 97675 and 97680 is 5.

GCF(97675,97680) = 5

We will now calculate the prime factors of 97675 and 97680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97675 and 97680.

How to find the GCF of 97675 and 97680?

We will first find the prime factorization of 97675 and 97680. After we will calculate the factors of 97675 and 97680 and find the biggest common factor number .

Step-1: Prime Factorization of 97675

Prime factors of 97675 are 5, 3907. Prime factorization of 97675 in exponential form is:

97675 = 5² × 3907¹

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 97675

List of positive integer factors of 97675 that divides 97675 without a remainder.

1, 5, 25, 3907, 19535

Step-4: Factors of 97680

List of positive integer factors of 97680 that divides 97675 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 97675 and 97680. The biggest common factor number is the GCF number.
So the greatest common factor 97675 and 97680 is 5.

Also check out the Least Common Multiple of 97675 and 97680