What is the Greatest Common Factor of 7749 and 7753?

Greatest common factor (GCF) of 7749 and 7753 is 1.

GCF(7749,7753) = 1

We will now calculate the prime factors of 7749 and 7753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7749 and 7753.

How to find the GCF of 7749 and 7753?

We will first find the prime factorization of 7749 and 7753. After we will calculate the factors of 7749 and 7753 and find the biggest common factor number .

Step-1: Prime Factorization of 7749

Prime factors of 7749 are 3, 7, 41. Prime factorization of 7749 in exponential form is:

7749 = 3³ × 7¹ × 41¹

Step-2: Prime Factorization of 7753

Prime factors of 7753 are 7753. Prime factorization of 7753 in exponential form is:

7753 = 7753¹

Step-3: Factors of 7749

List of positive integer factors of 7749 that divides 7749 without a remainder.

1, 3, 7, 9, 21, 27, 41, 63, 123, 189, 287, 369, 861, 1107, 2583

Step-4: Factors of 7753

List of positive integer factors of 7753 that divides 7749 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7749 and 7753. The biggest common factor number is the GCF number.
So the greatest common factor 7749 and 7753 is 1.

Also check out the Least Common Multiple of 7749 and 7753