What is the Greatest Common Factor of 54888 and 54897?

Greatest common factor (GCF) of 54888 and 54897 is 3.

GCF(54888,54897) = 3

We will now calculate the prime factors of 54888 and 54897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54888 and 54897.

How to find the GCF of 54888 and 54897?

We will first find the prime factorization of 54888 and 54897. After we will calculate the factors of 54888 and 54897 and find the biggest common factor number .

Step-1: Prime Factorization of 54888

Prime factors of 54888 are 2, 3, 2287. Prime factorization of 54888 in exponential form is:

54888 = 2³ × 3¹ × 2287¹

Step-2: Prime Factorization of 54897

Prime factors of 54897 are 3, 29, 631. Prime factorization of 54897 in exponential form is:

54897 = 3¹ × 29¹ × 631¹

Step-3: Factors of 54888

List of positive integer factors of 54888 that divides 54888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2287, 4574, 6861, 9148, 13722, 18296, 27444

Step-4: Factors of 54897

List of positive integer factors of 54897 that divides 54888 without a remainder.

1, 3, 29, 87, 631, 1893, 18299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54888 and 54897. The biggest common factor number is the GCF number.
So the greatest common factor 54888 and 54897 is 3.

Also check out the Least Common Multiple of 54888 and 54897