What is the Greatest Common Factor of 9654 and 9670?

Greatest common factor (GCF) of 9654 and 9670 is 2.

GCF(9654,9670) = 2

We will now calculate the prime factors of 9654 and 9670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9654 and 9670.

How to find the GCF of 9654 and 9670?

We will first find the prime factorization of 9654 and 9670. After we will calculate the factors of 9654 and 9670 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 9670

Prime factors of 9670 are 2, 5, 967. Prime factorization of 9670 in exponential form is:

9670 = 2¹ × 5¹ × 967¹

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 9670

List of positive integer factors of 9670 that divides 9654 without a remainder.

1, 2, 5, 10, 967, 1934, 4835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9654 and 9670. The biggest common factor number is the GCF number.
So the greatest common factor 9654 and 9670 is 2.

Also check out the Least Common Multiple of 9654 and 9670