What is the Greatest Common Factor of 9760 and 9770?

Greatest common factor (GCF) of 9760 and 9770 is 10.

GCF(9760,9770) = 10

We will now calculate the prime factors of 9760 and 9770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9760 and 9770.

How to find the GCF of 9760 and 9770?

We will first find the prime factorization of 9760 and 9770. After we will calculate the factors of 9760 and 9770 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9770

Prime factors of 9770 are 2, 5, 977. Prime factorization of 9770 in exponential form is:

9770 = 2¹ × 5¹ × 977¹

Step-3: Factors of 9760

List of positive integer factors of 9760 that divides 9760 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

Step-4: Factors of 9770

List of positive integer factors of 9770 that divides 9760 without a remainder.

1, 2, 5, 10, 977, 1954, 4885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9760 and 9770. The biggest common factor number is the GCF number.
So the greatest common factor 9760 and 9770 is 10.

Also check out the Least Common Multiple of 9760 and 9770