What is the Greatest Common Factor of 97800 and 97815?

Greatest common factor (GCF) of 97800 and 97815 is 15.

GCF(97800,97815) = 15

We will now calculate the prime factors of 97800 and 97815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97800 and 97815.

How to find the GCF of 97800 and 97815?

We will first find the prime factorization of 97800 and 97815. After we will calculate the factors of 97800 and 97815 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97815

Prime factors of 97815 are 3, 5, 6521. Prime factorization of 97815 in exponential form is:

97815 = 3¹ × 5¹ × 6521¹

Step-3: Factors of 97800

List of positive integer factors of 97800 that divides 97800 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

Step-4: Factors of 97815

List of positive integer factors of 97815 that divides 97800 without a remainder.

1, 3, 5, 15, 6521, 19563, 32605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97800 and 97815. The biggest common factor number is the GCF number.
So the greatest common factor 97800 and 97815 is 15.

Also check out the Least Common Multiple of 97800 and 97815