What is the Greatest Common Factor of 9642 and 9657?

Greatest common factor (GCF) of 9642 and 9657 is 3.

GCF(9642,9657) = 3

We will now calculate the prime factors of 9642 and 9657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9642 and 9657.

How to find the GCF of 9642 and 9657?

We will first find the prime factorization of 9642 and 9657. After we will calculate the factors of 9642 and 9657 and find the biggest common factor number .

Step-1: Prime Factorization of 9642

Prime factors of 9642 are 2, 3, 1607. Prime factorization of 9642 in exponential form is:

9642 = 2¹ × 3¹ × 1607¹

Step-2: Prime Factorization of 9657

Prime factors of 9657 are 3, 29, 37. Prime factorization of 9657 in exponential form is:

9657 = 3² × 29¹ × 37¹

Step-3: Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1, 2, 3, 6, 1607, 3214, 4821

Step-4: Factors of 9657

List of positive integer factors of 9657 that divides 9642 without a remainder.

1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9642 and 9657. The biggest common factor number is the GCF number.
So the greatest common factor 9642 and 9657 is 3.

Also check out the Least Common Multiple of 9642 and 9657