What is the Greatest Common Factor of 9660 and 9674?

Greatest common factor (GCF) of 9660 and 9674 is 14.

GCF(9660,9674) = 14

We will now calculate the prime factors of 9660 and 9674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9660 and 9674.

How to find the GCF of 9660 and 9674?

We will first find the prime factorization of 9660 and 9674. After we will calculate the factors of 9660 and 9674 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 9674

Prime factors of 9674 are 2, 7, 691. Prime factorization of 9674 in exponential form is:

9674 = 2¹ × 7¹ × 691¹

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 9674

List of positive integer factors of 9674 that divides 9660 without a remainder.

1, 2, 7, 14, 691, 1382, 4837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9660 and 9674. The biggest common factor number is the GCF number.
So the greatest common factor 9660 and 9674 is 14.

Also check out the Least Common Multiple of 9660 and 9674