What is the Greatest Common Factor of 7790 and 7802?

Greatest common factor (GCF) of 7790 and 7802 is 2.

GCF(7790,7802) = 2

We will now calculate the prime factors of 7790 and 7802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7790 and 7802.

How to find the GCF of 7790 and 7802?

We will first find the prime factorization of 7790 and 7802. After we will calculate the factors of 7790 and 7802 and find the biggest common factor number .

Step-1: Prime Factorization of 7790

Prime factors of 7790 are 2, 5, 19, 41. Prime factorization of 7790 in exponential form is:

7790 = 2¹ × 5¹ × 19¹ × 41¹

Step-2: Prime Factorization of 7802

Prime factors of 7802 are 2, 47, 83. Prime factorization of 7802 in exponential form is:

7802 = 2¹ × 47¹ × 83¹

Step-3: Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895

Step-4: Factors of 7802

List of positive integer factors of 7802 that divides 7790 without a remainder.

1, 2, 47, 83, 94, 166, 3901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7790 and 7802. The biggest common factor number is the GCF number.
So the greatest common factor 7790 and 7802 is 2.

Also check out the Least Common Multiple of 7790 and 7802