What is the Greatest Common Factor of 54870 and 54882?

Greatest common factor (GCF) of 54870 and 54882 is 6.

GCF(54870,54882) = 6

We will now calculate the prime factors of 54870 and 54882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54870 and 54882.

How to find the GCF of 54870 and 54882?

We will first find the prime factorization of 54870 and 54882. After we will calculate the factors of 54870 and 54882 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 54882

Prime factors of 54882 are 2, 3, 3049. Prime factorization of 54882 in exponential form is:

54882 = 2¹ × 3² × 3049¹

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 54882

List of positive integer factors of 54882 that divides 54870 without a remainder.

1, 2, 3, 6, 9, 18, 3049, 6098, 9147, 18294, 27441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54870 and 54882. The biggest common factor number is the GCF number.
So the greatest common factor 54870 and 54882 is 6.

Also check out the Least Common Multiple of 54870 and 54882