What is the Greatest Common Factor of 54438 and 54444?

Greatest common factor (GCF) of 54438 and 54444 is 6.

GCF(54438,54444) = 6

We will now calculate the prime factors of 54438 and 54444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54438 and 54444.

How to find the GCF of 54438 and 54444?

We will first find the prime factorization of 54438 and 54444. After we will calculate the factors of 54438 and 54444 and find the biggest common factor number .

Step-1: 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-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 54438

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

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

Step-4: Factors of 54444

List of positive integer factors of 54444 that divides 54438 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 54438 and 54444. The biggest common factor number is the GCF number.
So the greatest common factor 54438 and 54444 is 6.

Also check out the Least Common Multiple of 54438 and 54444