What is the Greatest Common Factor of 43404 and 43422?

Greatest common factor (GCF) of 43404 and 43422 is 6.

GCF(43404,43422) = 6

We will now calculate the prime factors of 43404 and 43422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43404 and 43422.

How to find the GCF of 43404 and 43422?

We will first find the prime factorization of 43404 and 43422. After we will calculate the factors of 43404 and 43422 and find the biggest common factor number .

Step-1: Prime Factorization of 43404

Prime factors of 43404 are 2, 3, 3617. Prime factorization of 43404 in exponential form is:

43404 = 2² × 3¹ × 3617¹

Step-2: Prime Factorization of 43422

Prime factors of 43422 are 2, 3, 7237. Prime factorization of 43422 in exponential form is:

43422 = 2¹ × 3¹ × 7237¹

Step-3: Factors of 43404

List of positive integer factors of 43404 that divides 43404 without a remainder.

1, 2, 3, 4, 6, 12, 3617, 7234, 10851, 14468, 21702

Step-4: Factors of 43422

List of positive integer factors of 43422 that divides 43404 without a remainder.

1, 2, 3, 6, 7237, 14474, 21711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43404 and 43422. The biggest common factor number is the GCF number.
So the greatest common factor 43404 and 43422 is 6.

Also check out the Least Common Multiple of 43404 and 43422