What is the Greatest Common Factor of 54859 and 54876?

Greatest common factor (GCF) of 54859 and 54876 is 17.

GCF(54859,54876) = 17

We will now calculate the prime factors of 54859 and 54876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54859 and 54876.

How to find the GCF of 54859 and 54876?

We will first find the prime factorization of 54859 and 54876. After we will calculate the factors of 54859 and 54876 and find the biggest common factor number .

Step-1: Prime Factorization of 54859

Prime factors of 54859 are 7, 17, 461. Prime factorization of 54859 in exponential form is:

54859 = 7¹ × 17¹ × 461¹

Step-2: Prime Factorization of 54876

Prime factors of 54876 are 2, 3, 17, 269. Prime factorization of 54876 in exponential form is:

54876 = 2² × 3¹ × 17¹ × 269¹

Step-3: Factors of 54859

List of positive integer factors of 54859 that divides 54859 without a remainder.

1, 7, 17, 119, 461, 3227, 7837

Step-4: Factors of 54876

List of positive integer factors of 54876 that divides 54859 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 269, 538, 807, 1076, 1614, 3228, 4573, 9146, 13719, 18292, 27438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54859 and 54876. The biggest common factor number is the GCF number.
So the greatest common factor 54859 and 54876 is 17.

Also check out the Least Common Multiple of 54859 and 54876