What is the Greatest Common Factor of 7799 and 7810?

Greatest common factor (GCF) of 7799 and 7810 is 11.

GCF(7799,7810) = 11

We will now calculate the prime factors of 7799 and 7810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7799 and 7810.

How to find the GCF of 7799 and 7810?

We will first find the prime factorization of 7799 and 7810. After we will calculate the factors of 7799 and 7810 and find the biggest common factor number .

Step-1: Prime Factorization of 7799

Prime factors of 7799 are 11, 709. Prime factorization of 7799 in exponential form is:

7799 = 11¹ × 709¹

Step-2: Prime Factorization of 7810

Prime factors of 7810 are 2, 5, 11, 71. Prime factorization of 7810 in exponential form is:

7810 = 2¹ × 5¹ × 11¹ × 71¹

Step-3: Factors of 7799

List of positive integer factors of 7799 that divides 7799 without a remainder.

1, 11, 709

Step-4: Factors of 7810

List of positive integer factors of 7810 that divides 7799 without a remainder.

1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7799 and 7810. The biggest common factor number is the GCF number.
So the greatest common factor 7799 and 7810 is 11.

Also check out the Least Common Multiple of 7799 and 7810