What is the Greatest Common Factor of 9735 and 9754?

Greatest common factor (GCF) of 9735 and 9754 is 1.

GCF(9735,9754) = 1

We will now calculate the prime factors of 9735 and 9754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9735 and 9754.

How to find the GCF of 9735 and 9754?

We will first find the prime factorization of 9735 and 9754. After we will calculate the factors of 9735 and 9754 and find the biggest common factor number .

Step-1: Prime Factorization of 9735

Prime factors of 9735 are 3, 5, 11, 59. Prime factorization of 9735 in exponential form is:

9735 = 3¹ × 5¹ × 11¹ × 59¹

Step-2: Prime Factorization of 9754

Prime factors of 9754 are 2, 4877. Prime factorization of 9754 in exponential form is:

9754 = 2¹ × 4877¹

Step-3: Factors of 9735

List of positive integer factors of 9735 that divides 9735 without a remainder.

1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245

Step-4: Factors of 9754

List of positive integer factors of 9754 that divides 9735 without a remainder.

1, 2, 4877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9735 and 9754. The biggest common factor number is the GCF number.
So the greatest common factor 9735 and 9754 is 1.

Also check out the Least Common Multiple of 9735 and 9754