What is the Greatest Common Factor of 7734 and 7741?

Greatest common factor (GCF) of 7734 and 7741 is 1.

GCF(7734,7741) = 1

We will now calculate the prime factors of 7734 and 7741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7734 and 7741.

How to find the GCF of 7734 and 7741?

We will first find the prime factorization of 7734 and 7741. After we will calculate the factors of 7734 and 7741 and find the biggest common factor number .

Step-1: Prime Factorization of 7734

Prime factors of 7734 are 2, 3, 1289. Prime factorization of 7734 in exponential form is:

7734 = 2¹ × 3¹ × 1289¹

Step-2: Prime Factorization of 7741

Prime factors of 7741 are 7741. Prime factorization of 7741 in exponential form is:

7741 = 7741¹

Step-3: Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1, 2, 3, 6, 1289, 2578, 3867

Step-4: Factors of 7741

List of positive integer factors of 7741 that divides 7734 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7734 and 7741. The biggest common factor number is the GCF number.
So the greatest common factor 7734 and 7741 is 1.

Also check out the Least Common Multiple of 7734 and 7741