What is the Greatest Common Factor of 7787 and 7800?

Greatest common factor (GCF) of 7787 and 7800 is 13.

GCF(7787,7800) = 13

We will now calculate the prime factors of 7787 and 7800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7787 and 7800.

How to find the GCF of 7787 and 7800?

We will first find the prime factorization of 7787 and 7800. After we will calculate the factors of 7787 and 7800 and find the biggest common factor number .

Step-1: Prime Factorization of 7787

Prime factors of 7787 are 13, 599. Prime factorization of 7787 in exponential form is:

7787 = 13¹ × 599¹

Step-2: 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-3: Factors of 7787

List of positive integer factors of 7787 that divides 7787 without a remainder.

1, 13, 599

Step-4: Factors of 7800

List of positive integer factors of 7800 that divides 7787 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7787 and 7800. The biggest common factor number is the GCF number.
So the greatest common factor 7787 and 7800 is 13.

Also check out the Least Common Multiple of 7787 and 7800