What is the Greatest Common Factor of 7706 and 7722?

Greatest common factor (GCF) of 7706 and 7722 is 2.

GCF(7706,7722) = 2

We will now calculate the prime factors of 7706 and 7722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7706 and 7722.

How to find the GCF of 7706 and 7722?

We will first find the prime factorization of 7706 and 7722. After we will calculate the factors of 7706 and 7722 and find the biggest common factor number .

Step-1: Prime Factorization of 7706

Prime factors of 7706 are 2, 3853. Prime factorization of 7706 in exponential form is:

7706 = 2¹ × 3853¹

Step-2: Prime Factorization of 7722

Prime factors of 7722 are 2, 3, 11, 13. Prime factorization of 7722 in exponential form is:

7722 = 2¹ × 3³ × 11¹ × 13¹

Step-3: Factors of 7706

List of positive integer factors of 7706 that divides 7706 without a remainder.

1, 2, 3853

Step-4: Factors of 7722

List of positive integer factors of 7722 that divides 7706 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7706 and 7722. The biggest common factor number is the GCF number.
So the greatest common factor 7706 and 7722 is 2.

Also check out the Least Common Multiple of 7706 and 7722