What is the Greatest Common Factor of 9600 and 9620?

Greatest common factor (GCF) of 9600 and 9620 is 20.

GCF(9600,9620) = 20

We will now calculate the prime factors of 9600 and 9620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9600 and 9620.

How to find the GCF of 9600 and 9620?

We will first find the prime factorization of 9600 and 9620. After we will calculate the factors of 9600 and 9620 and find the biggest common factor number .

Step-1: Prime Factorization of 9600

Prime factors of 9600 are 2, 3, 5. Prime factorization of 9600 in exponential form is:

9600 = 2⁷ × 3¹ × 5²

Step-2: Prime Factorization of 9620

Prime factors of 9620 are 2, 5, 13, 37. Prime factorization of 9620 in exponential form is:

9620 = 2² × 5¹ × 13¹ × 37¹

Step-3: Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800

Step-4: Factors of 9620

List of positive integer factors of 9620 that divides 9600 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9600 and 9620. The biggest common factor number is the GCF number.
So the greatest common factor 9600 and 9620 is 20.

Also check out the Least Common Multiple of 9600 and 9620