What is the Greatest Common Factor of 43374 and 43383?

Greatest common factor (GCF) of 43374 and 43383 is 3.

GCF(43374,43383) = 3

We will now calculate the prime factors of 43374 and 43383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43374 and 43383.

How to find the GCF of 43374 and 43383?

We will first find the prime factorization of 43374 and 43383. After we will calculate the factors of 43374 and 43383 and find the biggest common factor number .

Step-1: Prime Factorization of 43374

Prime factors of 43374 are 2, 3, 7229. Prime factorization of 43374 in exponential form is:

43374 = 2¹ × 3¹ × 7229¹

Step-2: Prime Factorization of 43383

Prime factors of 43383 are 3, 14461. Prime factorization of 43383 in exponential form is:

43383 = 3¹ × 14461¹

Step-3: Factors of 43374

List of positive integer factors of 43374 that divides 43374 without a remainder.

1, 2, 3, 6, 7229, 14458, 21687

Step-4: Factors of 43383

List of positive integer factors of 43383 that divides 43374 without a remainder.

1, 3, 14461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43374 and 43383. The biggest common factor number is the GCF number.
So the greatest common factor 43374 and 43383 is 3.

Also check out the Least Common Multiple of 43374 and 43383