What is the Greatest Common Factor of 9340 and 9346?

Greatest common factor (GCF) of 9340 and 9346 is 2.

GCF(9340,9346) = 2

We will now calculate the prime factors of 9340 and 9346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9340 and 9346.

How to find the GCF of 9340 and 9346?

We will first find the prime factorization of 9340 and 9346. After we will calculate the factors of 9340 and 9346 and find the biggest common factor number .

Step-1: Prime Factorization of 9340

Prime factors of 9340 are 2, 5, 467. Prime factorization of 9340 in exponential form is:

9340 = 2² × 5¹ × 467¹

Step-2: Prime Factorization of 9346

Prime factors of 9346 are 2, 4673. Prime factorization of 9346 in exponential form is:

9346 = 2¹ × 4673¹

Step-3: Factors of 9340

List of positive integer factors of 9340 that divides 9340 without a remainder.

1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670

Step-4: Factors of 9346

List of positive integer factors of 9346 that divides 9340 without a remainder.

1, 2, 4673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9340 and 9346. The biggest common factor number is the GCF number.
So the greatest common factor 9340 and 9346 is 2.

Also check out the Least Common Multiple of 9340 and 9346