What is the Greatest Common Factor of 54429 and 54444?

Greatest common factor (GCF) of 54429 and 54444 is 3.

GCF(54429,54444) = 3

We will now calculate the prime factors of 54429 and 54444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54429 and 54444.

How to find the GCF of 54429 and 54444?

We will first find the prime factorization of 54429 and 54444. After we will calculate the factors of 54429 and 54444 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 54444

Prime factors of 54444 are 2, 3, 13, 349. Prime factorization of 54444 in exponential form is:

54444 = 2² × 3¹ × 13¹ × 349¹

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 54444

List of positive integer factors of 54444 that divides 54429 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 349, 698, 1047, 1396, 2094, 4188, 4537, 9074, 13611, 18148, 27222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54429 and 54444. The biggest common factor number is the GCF number.
So the greatest common factor 54429 and 54444 is 3.

Also check out the Least Common Multiple of 54429 and 54444