What is the Greatest Common Factor of 7722 and 7735?

Greatest common factor (GCF) of 7722 and 7735 is 13.

GCF(7722,7735) = 13

We will now calculate the prime factors of 7722 and 7735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7722 and 7735.

How to find the GCF of 7722 and 7735?

We will first find the prime factorization of 7722 and 7735. After we will calculate the factors of 7722 and 7735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7735

Prime factors of 7735 are 5, 7, 13, 17. Prime factorization of 7735 in exponential form is:

7735 = 5¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 7722

List of positive integer factors of 7722 that divides 7722 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

Step-4: Factors of 7735

List of positive integer factors of 7735 that divides 7722 without a remainder.

1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7722 and 7735. The biggest common factor number is the GCF number.
So the greatest common factor 7722 and 7735 is 13.

Also check out the Least Common Multiple of 7722 and 7735