What is the Greatest Common Factor of 54429 and 54438?

Greatest common factor (GCF) of 54429 and 54438 is 3.

GCF(54429,54438) = 3

We will now calculate the prime factors of 54429 and 54438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54429 and 54438.

How to find the GCF of 54429 and 54438?

We will first find the prime factorization of 54429 and 54438. After we will calculate the factors of 54429 and 54438 and find the biggest common factor number .

Step-1: Prime Factorization of 54429

Prime factors of 54429 are 3, 18143. Prime factorization of 54429 in exponential form is:

54429 = 3¹ × 18143¹

Step-2: Prime Factorization of 54438

Prime factors of 54438 are 2, 3, 43, 211. Prime factorization of 54438 in exponential form is:

54438 = 2¹ × 3¹ × 43¹ × 211¹

Step-3: Factors of 54429

List of positive integer factors of 54429 that divides 54429 without a remainder.

1, 3, 18143

Step-4: Factors of 54438

List of positive integer factors of 54438 that divides 54429 without a remainder.

1, 2, 3, 6, 43, 86, 129, 211, 258, 422, 633, 1266, 9073, 18146, 27219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54429 and 54438. The biggest common factor number is the GCF number.
So the greatest common factor 54429 and 54438 is 3.

Also check out the Least Common Multiple of 54429 and 54438