What is the Greatest Common Factor of 9654 and 9662?

Greatest common factor (GCF) of 9654 and 9662 is 2.

GCF(9654,9662) = 2

We will now calculate the prime factors of 9654 and 9662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9654 and 9662.

How to find the GCF of 9654 and 9662?

We will first find the prime factorization of 9654 and 9662. After we will calculate the factors of 9654 and 9662 and find the biggest common factor number .

Step-1: Prime Factorization of 9654

Prime factors of 9654 are 2, 3, 1609. Prime factorization of 9654 in exponential form is:

9654 = 2¹ × 3¹ × 1609¹

Step-2: Prime Factorization of 9662

Prime factors of 9662 are 2, 4831. Prime factorization of 9662 in exponential form is:

9662 = 2¹ × 4831¹

Step-3: Factors of 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1, 2, 3, 6, 1609, 3218, 4827

Step-4: Factors of 9662

List of positive integer factors of 9662 that divides 9654 without a remainder.

1, 2, 4831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9654 and 9662. The biggest common factor number is the GCF number.
So the greatest common factor 9654 and 9662 is 2.

Also check out the Least Common Multiple of 9654 and 9662