What is the Greatest Common Factor of 54860 and 54870?

Greatest common factor (GCF) of 54860 and 54870 is 10.

GCF(54860,54870) = 10

We will now calculate the prime factors of 54860 and 54870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54860 and 54870.

How to find the GCF of 54860 and 54870?

We will first find the prime factorization of 54860 and 54870. After we will calculate the factors of 54860 and 54870 and find the biggest common factor number .

Step-1: Prime Factorization of 54860

Prime factors of 54860 are 2, 5, 13, 211. Prime factorization of 54860 in exponential form is:

54860 = 2² × 5¹ × 13¹ × 211¹

Step-2: 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-3: Factors of 54860

List of positive integer factors of 54860 that divides 54860 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 211, 260, 422, 844, 1055, 2110, 2743, 4220, 5486, 10972, 13715, 27430

Step-4: Factors of 54870

List of positive integer factors of 54870 that divides 54860 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54860 and 54870. The biggest common factor number is the GCF number.
So the greatest common factor 54860 and 54870 is 10.

Also check out the Least Common Multiple of 54860 and 54870