What is the Greatest Common Factor of 43446 and 43461?

Greatest common factor (GCF) of 43446 and 43461 is 3.

GCF(43446,43461) = 3

We will now calculate the prime factors of 43446 and 43461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43446 and 43461.

How to find the GCF of 43446 and 43461?

We will first find the prime factorization of 43446 and 43461. After we will calculate the factors of 43446 and 43461 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43461

Prime factors of 43461 are 3, 11, 439. Prime factorization of 43461 in exponential form is:

43461 = 3² × 11¹ × 439¹

Step-3: Factors of 43446

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

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

Step-4: Factors of 43461

List of positive integer factors of 43461 that divides 43446 without a remainder.

1, 3, 9, 11, 33, 99, 439, 1317, 3951, 4829, 14487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43446 and 43461. The biggest common factor number is the GCF number.
So the greatest common factor 43446 and 43461 is 3.

Also check out the Least Common Multiple of 43446 and 43461