What is the Greatest Common Factor of 54870 and 54875?

Greatest common factor (GCF) of 54870 and 54875 is 5.

GCF(54870,54875) = 5

We will now calculate the prime factors of 54870 and 54875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54870 and 54875.

How to find the GCF of 54870 and 54875?

We will first find the prime factorization of 54870 and 54875. After we will calculate the factors of 54870 and 54875 and find the biggest common factor number .

Step-1: Prime Factorization of 54870

Prime factors of 54870 are 2, 3, 5, 31, 59. Prime factorization of 54870 in exponential form is:

54870 = 2¹ × 3¹ × 5¹ × 31¹ × 59¹

Step-2: Prime Factorization of 54875

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

54875 = 5³ × 439¹

Step-3: Factors of 54870

List of positive integer factors of 54870 that divides 54870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 59, 62, 93, 118, 155, 177, 186, 295, 310, 354, 465, 590, 885, 930, 1770, 1829, 3658, 5487, 9145, 10974, 18290, 27435

Step-4: Factors of 54875

List of positive integer factors of 54875 that divides 54870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54870 and 54875. The biggest common factor number is the GCF number.
So the greatest common factor 54870 and 54875 is 5.

Also check out the Least Common Multiple of 54870 and 54875