What is the Greatest Common Factor of 9660 and 9679?

Greatest common factor (GCF) of 9660 and 9679 is 1.

GCF(9660,9679) = 1

We will now calculate the prime factors of 9660 and 9679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9660 and 9679.

How to find the GCF of 9660 and 9679?

We will first find the prime factorization of 9660 and 9679. After we will calculate the factors of 9660 and 9679 and find the biggest common factor number .

Step-1: Prime Factorization of 9660

Prime factors of 9660 are 2, 3, 5, 7, 23. Prime factorization of 9660 in exponential form is:

9660 = 2² × 3¹ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 9679

Prime factors of 9679 are 9679. Prime factorization of 9679 in exponential form is:

9679 = 9679¹

Step-3: Factors of 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830

Step-4: Factors of 9679

List of positive integer factors of 9679 that divides 9660 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9660 and 9679. The biggest common factor number is the GCF number.
So the greatest common factor 9660 and 9679 is 1.

Also check out the Least Common Multiple of 9660 and 9679