What is the Greatest Common Factor of 54369 and 54383?

Greatest common factor (GCF) of 54369 and 54383 is 7.

GCF(54369,54383) = 7

We will now calculate the prime factors of 54369 and 54383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54369 and 54383.

How to find the GCF of 54369 and 54383?

We will first find the prime factorization of 54369 and 54383. After we will calculate the factors of 54369 and 54383 and find the biggest common factor number .

Step-1: Prime Factorization of 54369

Prime factors of 54369 are 3, 7, 863. Prime factorization of 54369 in exponential form is:

54369 = 3² × 7¹ × 863¹

Step-2: Prime Factorization of 54383

Prime factors of 54383 are 7, 17, 457. Prime factorization of 54383 in exponential form is:

54383 = 7¹ × 17¹ × 457¹

Step-3: Factors of 54369

List of positive integer factors of 54369 that divides 54369 without a remainder.

1, 3, 7, 9, 21, 63, 863, 2589, 6041, 7767, 18123

Step-4: Factors of 54383

List of positive integer factors of 54383 that divides 54369 without a remainder.

1, 7, 17, 119, 457, 3199, 7769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54369 and 54383. The biggest common factor number is the GCF number.
So the greatest common factor 54369 and 54383 is 7.

Also check out the Least Common Multiple of 54369 and 54383