What is the Greatest Common Factor of 54864 and 54884?

Greatest common factor (GCF) of 54864 and 54884 is 4.

GCF(54864,54884) = 4

We will now calculate the prime factors of 54864 and 54884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54864 and 54884.

How to find the GCF of 54864 and 54884?

We will first find the prime factorization of 54864 and 54884. After we will calculate the factors of 54864 and 54884 and find the biggest common factor number .

Step-1: Prime Factorization of 54864

Prime factors of 54864 are 2, 3, 127. Prime factorization of 54864 in exponential form is:

54864 = 2⁴ × 3³ × 127¹

Step-2: Prime Factorization of 54884

Prime factors of 54884 are 2, 13721. Prime factorization of 54884 in exponential form is:

54884 = 2² × 13721¹

Step-3: Factors of 54864

List of positive integer factors of 54864 that divides 54864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 127, 144, 216, 254, 381, 432, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 3429, 4572, 6096, 6858, 9144, 13716, 18288, 27432

Step-4: Factors of 54884

List of positive integer factors of 54884 that divides 54864 without a remainder.

1, 2, 4, 13721, 27442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54864 and 54884. The biggest common factor number is the GCF number.
So the greatest common factor 54864 and 54884 is 4.

Also check out the Least Common Multiple of 54864 and 54884