What is the Greatest Common Factor of 43433 and 43446?

Greatest common factor (GCF) of 43433 and 43446 is 13.

GCF(43433,43446) = 13

We will now calculate the prime factors of 43433 and 43446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43433 and 43446.

How to find the GCF of 43433 and 43446?

We will first find the prime factorization of 43433 and 43446. After we will calculate the factors of 43433 and 43446 and find the biggest common factor number .

Step-1: Prime Factorization of 43433

Prime factors of 43433 are 13, 257. Prime factorization of 43433 in exponential form is:

43433 = 13² × 257¹

Step-2: Prime Factorization of 43446

Prime factors of 43446 are 2, 3, 13, 557. Prime factorization of 43446 in exponential form is:

43446 = 2¹ × 3¹ × 13¹ × 557¹

Step-3: Factors of 43433

List of positive integer factors of 43433 that divides 43433 without a remainder.

1, 13, 169, 257, 3341

Step-4: Factors of 43446

List of positive integer factors of 43446 that divides 43433 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 557, 1114, 1671, 3342, 7241, 14482, 21723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43433 and 43446. The biggest common factor number is the GCF number.
So the greatest common factor 43433 and 43446 is 13.

Also check out the Least Common Multiple of 43433 and 43446