What is the Greatest Common Factor of 97785 and 97800?

Greatest common factor (GCF) of 97785 and 97800 is 15.

GCF(97785,97800) = 15

We will now calculate the prime factors of 97785 and 97800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97785 and 97800.

How to find the GCF of 97785 and 97800?

We will first find the prime factorization of 97785 and 97800. After we will calculate the factors of 97785 and 97800 and find the biggest common factor number .

Step-1: Prime Factorization of 97785

Prime factors of 97785 are 3, 5, 41, 53. Prime factorization of 97785 in exponential form is:

97785 = 3² × 5¹ × 41¹ × 53¹

Step-2: Prime Factorization of 97800

Prime factors of 97800 are 2, 3, 5, 163. Prime factorization of 97800 in exponential form is:

97800 = 2³ × 3¹ × 5² × 163¹

Step-3: Factors of 97785

List of positive integer factors of 97785 that divides 97785 without a remainder.

1, 3, 5, 9, 15, 41, 45, 53, 123, 159, 205, 265, 369, 477, 615, 795, 1845, 2173, 2385, 6519, 10865, 19557, 32595

Step-4: Factors of 97800

List of positive integer factors of 97800 that divides 97785 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 163, 200, 300, 326, 489, 600, 652, 815, 978, 1304, 1630, 1956, 2445, 3260, 3912, 4075, 4890, 6520, 8150, 9780, 12225, 16300, 19560, 24450, 32600, 48900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97785 and 97800. The biggest common factor number is the GCF number.
So the greatest common factor 97785 and 97800 is 15.

Also check out the Least Common Multiple of 97785 and 97800