What is the Greatest Common Factor of 43334 and 43346?

Greatest common factor (GCF) of 43334 and 43346 is 2.

GCF(43334,43346) = 2

We will now calculate the prime factors of 43334 and 43346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43334 and 43346.

How to find the GCF of 43334 and 43346?

We will first find the prime factorization of 43334 and 43346. After we will calculate the factors of 43334 and 43346 and find the biggest common factor number .

Step-1: Prime Factorization of 43334

Prime factors of 43334 are 2, 47, 461. Prime factorization of 43334 in exponential form is:

43334 = 2¹ × 47¹ × 461¹

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 43334

List of positive integer factors of 43334 that divides 43334 without a remainder.

1, 2, 47, 94, 461, 922, 21667

Step-4: Factors of 43346

List of positive integer factors of 43346 that divides 43334 without a remainder.

1, 2, 21673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43334 and 43346. The biggest common factor number is the GCF number.
So the greatest common factor 43334 and 43346 is 2.

Also check out the Least Common Multiple of 43334 and 43346