What is the Greatest Common Factor of 7800 and 7813?

Greatest common factor (GCF) of 7800 and 7813 is 13.

GCF(7800,7813) = 13

We will now calculate the prime factors of 7800 and 7813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7800 and 7813.

How to find the GCF of 7800 and 7813?

We will first find the prime factorization of 7800 and 7813. After we will calculate the factors of 7800 and 7813 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 7813

Prime factors of 7813 are 13, 601. Prime factorization of 7813 in exponential form is:

7813 = 13¹ × 601¹

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 7813

List of positive integer factors of 7813 that divides 7800 without a remainder.

1, 13, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7800 and 7813. The biggest common factor number is the GCF number.
So the greatest common factor 7800 and 7813 is 13.

Also check out the Least Common Multiple of 7800 and 7813