What is the Greatest Common Factor of 7734 and 7745?

Greatest common factor (GCF) of 7734 and 7745 is 1.

GCF(7734,7745) = 1

We will now calculate the prime factors of 7734 and 7745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7734 and 7745.

How to find the GCF of 7734 and 7745?

We will first find the prime factorization of 7734 and 7745. After we will calculate the factors of 7734 and 7745 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 7745

Prime factors of 7745 are 5, 1549. Prime factorization of 7745 in exponential form is:

7745 = 5¹ × 1549¹

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 7745

List of positive integer factors of 7745 that divides 7734 without a remainder.

1, 5, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7734 and 7745. The biggest common factor number is the GCF number.
So the greatest common factor 7734 and 7745 is 1.

Also check out the Least Common Multiple of 7734 and 7745