What is the Greatest Common Factor of 54444 and 54457?

Greatest common factor (GCF) of 54444 and 54457 is 13.

GCF(54444,54457) = 13

We will now calculate the prime factors of 54444 and 54457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54444 and 54457.

How to find the GCF of 54444 and 54457?

We will first find the prime factorization of 54444 and 54457. After we will calculate the factors of 54444 and 54457 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54457

Prime factors of 54457 are 13, 59, 71. Prime factorization of 54457 in exponential form is:

54457 = 13¹ × 59¹ × 71¹

Step-3: Factors of 54444

List of positive integer factors of 54444 that divides 54444 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

Step-4: Factors of 54457

List of positive integer factors of 54457 that divides 54444 without a remainder.

1, 13, 59, 71, 767, 923, 4189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54444 and 54457. The biggest common factor number is the GCF number.
So the greatest common factor 54444 and 54457 is 13.

Also check out the Least Common Multiple of 54444 and 54457