What is the Greatest Common Factor of 96885 and 96900?

Greatest common factor (GCF) of 96885 and 96900 is 15.

GCF(96885,96900) = 15

We will now calculate the prime factors of 96885 and 96900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96885 and 96900.

How to find the GCF of 96885 and 96900?

We will first find the prime factorization of 96885 and 96900. After we will calculate the factors of 96885 and 96900 and find the biggest common factor number .

Step-1: Prime Factorization of 96885

Prime factors of 96885 are 3, 5, 2153. Prime factorization of 96885 in exponential form is:

96885 = 3² × 5¹ × 2153¹

Step-2: Prime Factorization of 96900

Prime factors of 96900 are 2, 3, 5, 17, 19. Prime factorization of 96900 in exponential form is:

96900 = 2² × 3¹ × 5² × 17¹ × 19¹

Step-3: Factors of 96885

List of positive integer factors of 96885 that divides 96885 without a remainder.

1, 3, 5, 9, 15, 45, 2153, 6459, 10765, 19377, 32295

Step-4: Factors of 96900

List of positive integer factors of 96900 that divides 96885 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 19, 20, 25, 30, 34, 38, 50, 51, 57, 60, 68, 75, 76, 85, 95, 100, 102, 114, 150, 170, 190, 204, 228, 255, 285, 300, 323, 340, 380, 425, 475, 510, 570, 646, 850, 950, 969, 1020, 1140, 1275, 1292, 1425, 1615, 1700, 1900, 1938, 2550, 2850, 3230, 3876, 4845, 5100, 5700, 6460, 8075, 9690, 16150, 19380, 24225, 32300, 48450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96885 and 96900. The biggest common factor number is the GCF number.
So the greatest common factor 96885 and 96900 is 15.

Also check out the Least Common Multiple of 96885 and 96900