What is the Greatest Common Factor of 54875 and 54885?

Greatest common factor (GCF) of 54875 and 54885 is 5.

GCF(54875,54885) = 5

We will now calculate the prime factors of 54875 and 54885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54875 and 54885.

How to find the GCF of 54875 and 54885?

We will first find the prime factorization of 54875 and 54885. After we will calculate the factors of 54875 and 54885 and find the biggest common factor number .

Step-1: Prime Factorization of 54875

Prime factors of 54875 are 5, 439. Prime factorization of 54875 in exponential form is:

54875 = 5³ × 439¹

Step-2: Prime Factorization of 54885

Prime factors of 54885 are 3, 5, 3659. Prime factorization of 54885 in exponential form is:

54885 = 3¹ × 5¹ × 3659¹

Step-3: Factors of 54875

List of positive integer factors of 54875 that divides 54875 without a remainder.

1, 5, 25, 125, 439, 2195, 10975

Step-4: Factors of 54885

List of positive integer factors of 54885 that divides 54875 without a remainder.

1, 3, 5, 15, 3659, 10977, 18295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54875 and 54885. The biggest common factor number is the GCF number.
So the greatest common factor 54875 and 54885 is 5.

Also check out the Least Common Multiple of 54875 and 54885