What is the Greatest Common Factor of 7729 and 7734?

Greatest common factor (GCF) of 7729 and 7734 is 1.

GCF(7729,7734) = 1

We will now calculate the prime factors of 7729 and 7734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7729 and 7734.

How to find the GCF of 7729 and 7734?

We will first find the prime factorization of 7729 and 7734. After we will calculate the factors of 7729 and 7734 and find the biggest common factor number .

Step-1: Prime Factorization of 7729

Prime factors of 7729 are 59, 131. Prime factorization of 7729 in exponential form is:

7729 = 59¹ × 131¹

Step-2: 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-3: Factors of 7729

List of positive integer factors of 7729 that divides 7729 without a remainder.

1, 59, 131

Step-4: Factors of 7734

List of positive integer factors of 7734 that divides 7729 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7729 and 7734. The biggest common factor number is the GCF number.
So the greatest common factor 7729 and 7734 is 1.

Also check out the Least Common Multiple of 7729 and 7734