What is the Greatest Common Factor of 9764 and 9780?

Greatest common factor (GCF) of 9764 and 9780 is 4.

GCF(9764,9780) = 4

We will now calculate the prime factors of 9764 and 9780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9764 and 9780.

How to find the GCF of 9764 and 9780?

We will first find the prime factorization of 9764 and 9780. After we will calculate the factors of 9764 and 9780 and find the biggest common factor number .

Step-1: Prime Factorization of 9764

Prime factors of 9764 are 2, 2441. Prime factorization of 9764 in exponential form is:

9764 = 2² × 2441¹

Step-2: Prime Factorization of 9780

Prime factors of 9780 are 2, 3, 5, 163. Prime factorization of 9780 in exponential form is:

9780 = 2² × 3¹ × 5¹ × 163¹

Step-3: Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1, 2, 4, 2441, 4882

Step-4: Factors of 9780

List of positive integer factors of 9780 that divides 9764 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9764 and 9780. The biggest common factor number is the GCF number.
So the greatest common factor 9764 and 9780 is 4.

Also check out the Least Common Multiple of 9764 and 9780