What is the Greatest Common Factor of 7800 and 7815?

Greatest common factor (GCF) of 7800 and 7815 is 15.

GCF(7800,7815) = 15

We will now calculate the prime factors of 7800 and 7815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7800 and 7815.

How to find the GCF of 7800 and 7815?

We will first find the prime factorization of 7800 and 7815. After we will calculate the factors of 7800 and 7815 and find the biggest common factor number .

Step-1: Prime Factorization of 7800

Prime factors of 7800 are 2, 3, 5, 13. Prime factorization of 7800 in exponential form is:

7800 = 2³ × 3¹ × 5² × 13¹

Step-2: Prime Factorization of 7815

Prime factors of 7815 are 3, 5, 521. Prime factorization of 7815 in exponential form is:

7815 = 3¹ × 5¹ × 521¹

Step-3: Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900

Step-4: Factors of 7815

List of positive integer factors of 7815 that divides 7800 without a remainder.

1, 3, 5, 15, 521, 1563, 2605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7800 and 7815. The biggest common factor number is the GCF number.
So the greatest common factor 7800 and 7815 is 15.

Also check out the Least Common Multiple of 7800 and 7815