What is the Greatest Common Factor of 43340 and 43346?

Greatest common factor (GCF) of 43340 and 43346 is 2.

GCF(43340,43346) = 2

We will now calculate the prime factors of 43340 and 43346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43340 and 43346.

How to find the GCF of 43340 and 43346?

We will first find the prime factorization of 43340 and 43346. After we will calculate the factors of 43340 and 43346 and find the biggest common factor number .

Step-1: Prime Factorization of 43340

Prime factors of 43340 are 2, 5, 11, 197. Prime factorization of 43340 in exponential form is:

43340 = 2² × 5¹ × 11¹ × 197¹

Step-2: Prime Factorization of 43346

Prime factors of 43346 are 2, 21673. Prime factorization of 43346 in exponential form is:

43346 = 2¹ × 21673¹

Step-3: Factors of 43340

List of positive integer factors of 43340 that divides 43340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 197, 220, 394, 788, 985, 1970, 2167, 3940, 4334, 8668, 10835, 21670

Step-4: Factors of 43346

List of positive integer factors of 43346 that divides 43340 without a remainder.

1, 2, 21673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43340 and 43346. The biggest common factor number is the GCF number.
So the greatest common factor 43340 and 43346 is 2.

Also check out the Least Common Multiple of 43340 and 43346