What is the Greatest Common Factor of 54780 and 54795?

Greatest common factor (GCF) of 54780 and 54795 is 15.

GCF(54780,54795) = 15

We will now calculate the prime factors of 54780 and 54795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54780 and 54795.

How to find the GCF of 54780 and 54795?

We will first find the prime factorization of 54780 and 54795. After we will calculate the factors of 54780 and 54795 and find the biggest common factor number .

Step-1: Prime Factorization of 54780

Prime factors of 54780 are 2, 3, 5, 11, 83. Prime factorization of 54780 in exponential form is:

54780 = 2² × 3¹ × 5¹ × 11¹ × 83¹

Step-2: Prime Factorization of 54795

Prime factors of 54795 are 3, 5, 13, 281. Prime factorization of 54795 in exponential form is:

54795 = 3¹ × 5¹ × 13¹ × 281¹

Step-3: Factors of 54780

List of positive integer factors of 54780 that divides 54780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 83, 110, 132, 165, 166, 220, 249, 330, 332, 415, 498, 660, 830, 913, 996, 1245, 1660, 1826, 2490, 2739, 3652, 4565, 4980, 5478, 9130, 10956, 13695, 18260, 27390

Step-4: Factors of 54795

List of positive integer factors of 54795 that divides 54780 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 281, 843, 1405, 3653, 4215, 10959, 18265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54780 and 54795. The biggest common factor number is the GCF number.
So the greatest common factor 54780 and 54795 is 15.

Also check out the Least Common Multiple of 54780 and 54795