What is the Greatest Common Factor of 7714 and 7733?

Greatest common factor (GCF) of 7714 and 7733 is 19.

GCF(7714,7733) = 19

We will now calculate the prime factors of 7714 and 7733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7714 and 7733.

How to find the GCF of 7714 and 7733?

We will first find the prime factorization of 7714 and 7733. After we will calculate the factors of 7714 and 7733 and find the biggest common factor number .

Step-1: Prime Factorization of 7714

Prime factors of 7714 are 2, 7, 19, 29. Prime factorization of 7714 in exponential form is:

7714 = 2¹ × 7¹ × 19¹ × 29¹

Step-2: Prime Factorization of 7733

Prime factors of 7733 are 11, 19, 37. Prime factorization of 7733 in exponential form is:

7733 = 11¹ × 19¹ × 37¹

Step-3: Factors of 7714

List of positive integer factors of 7714 that divides 7714 without a remainder.

1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857

Step-4: Factors of 7733

List of positive integer factors of 7733 that divides 7714 without a remainder.

1, 11, 19, 37, 209, 407, 703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7714 and 7733. The biggest common factor number is the GCF number.
So the greatest common factor 7714 and 7733 is 19.

Also check out the Least Common Multiple of 7714 and 7733