What is the Greatest Common Factor of 54431 and 54444?

Greatest common factor (GCF) of 54431 and 54444 is 13.

GCF(54431,54444) = 13

We will now calculate the prime factors of 54431 and 54444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54431 and 54444.

How to find the GCF of 54431 and 54444?

We will first find the prime factorization of 54431 and 54444. After we will calculate the factors of 54431 and 54444 and find the biggest common factor number .

Step-1: Prime Factorization of 54431

Prime factors of 54431 are 13, 53, 79. Prime factorization of 54431 in exponential form is:

54431 = 13¹ × 53¹ × 79¹

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 54431

List of positive integer factors of 54431 that divides 54431 without a remainder.

1, 13, 53, 79, 689, 1027, 4187

Step-4: Factors of 54444

List of positive integer factors of 54444 that divides 54431 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 54431 and 54444. The biggest common factor number is the GCF number.
So the greatest common factor 54431 and 54444 is 13.

Also check out the Least Common Multiple of 54431 and 54444