What is the Greatest Common Factor of 9720 and 9726?

Greatest common factor (GCF) of 9720 and 9726 is 6.

GCF(9720,9726) = 6

We will now calculate the prime factors of 9720 and 9726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9720 and 9726.

How to find the GCF of 9720 and 9726?

We will first find the prime factorization of 9720 and 9726. After we will calculate the factors of 9720 and 9726 and find the biggest common factor number .

Step-1: Prime Factorization of 9720

Prime factors of 9720 are 2, 3, 5. Prime factorization of 9720 in exponential form is:

9720 = 2³ × 3⁵ × 5¹

Step-2: Prime Factorization of 9726

Prime factors of 9726 are 2, 3, 1621. Prime factorization of 9726 in exponential form is:

9726 = 2¹ × 3¹ × 1621¹

Step-3: Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860

Step-4: Factors of 9726

List of positive integer factors of 9726 that divides 9720 without a remainder.

1, 2, 3, 6, 1621, 3242, 4863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9720 and 9726. The biggest common factor number is the GCF number.
So the greatest common factor 9720 and 9726 is 6.

Also check out the Least Common Multiple of 9720 and 9726