What is the Greatest Common Factor of 54864 and 54874?

Greatest common factor (GCF) of 54864 and 54874 is 2.

GCF(54864,54874) = 2

We will now calculate the prime factors of 54864 and 54874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54864 and 54874.

How to find the GCF of 54864 and 54874?

We will first find the prime factorization of 54864 and 54874. After we will calculate the factors of 54864 and 54874 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 54874

Prime factors of 54874 are 2, 27437. Prime factorization of 54874 in exponential form is:

54874 = 2¹ × 27437¹

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 54874

List of positive integer factors of 54874 that divides 54864 without a remainder.

1, 2, 27437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54864 and 54874. The biggest common factor number is the GCF number.
So the greatest common factor 54864 and 54874 is 2.

Also check out the Least Common Multiple of 54864 and 54874