What is the Greatest Common Factor of 9742 and 9760?

Greatest common factor (GCF) of 9742 and 9760 is 2.

GCF(9742,9760) = 2

We will now calculate the prime factors of 9742 and 9760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9742 and 9760.

How to find the GCF of 9742 and 9760?

We will first find the prime factorization of 9742 and 9760. After we will calculate the factors of 9742 and 9760 and find the biggest common factor number .

Step-1: Prime Factorization of 9742

Prime factors of 9742 are 2, 4871. Prime factorization of 9742 in exponential form is:

9742 = 2¹ × 4871¹

Step-2: Prime Factorization of 9760

Prime factors of 9760 are 2, 5, 61. Prime factorization of 9760 in exponential form is:

9760 = 2⁵ × 5¹ × 61¹

Step-3: Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1, 2, 4871

Step-4: Factors of 9760

List of positive integer factors of 9760 that divides 9742 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9742 and 9760. The biggest common factor number is the GCF number.
So the greatest common factor 9742 and 9760 is 2.

Also check out the Least Common Multiple of 9742 and 9760