What is the Greatest Common Factor of 54975 and 54990?

Greatest common factor (GCF) of 54975 and 54990 is 15.

GCF(54975,54990) = 15

We will now calculate the prime factors of 54975 and 54990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54975 and 54990.

How to find the GCF of 54975 and 54990?

We will first find the prime factorization of 54975 and 54990. After we will calculate the factors of 54975 and 54990 and find the biggest common factor number .

Step-1: Prime Factorization of 54975

Prime factors of 54975 are 3, 5, 733. Prime factorization of 54975 in exponential form is:

54975 = 3¹ × 5² × 733¹

Step-2: Prime Factorization of 54990

Prime factors of 54990 are 2, 3, 5, 13, 47. Prime factorization of 54990 in exponential form is:

54990 = 2¹ × 3² × 5¹ × 13¹ × 47¹

Step-3: Factors of 54975

List of positive integer factors of 54975 that divides 54975 without a remainder.

1, 3, 5, 15, 25, 75, 733, 2199, 3665, 10995, 18325

Step-4: Factors of 54990

List of positive integer factors of 54990 that divides 54975 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 47, 65, 78, 90, 94, 117, 130, 141, 195, 234, 235, 282, 390, 423, 470, 585, 611, 705, 846, 1170, 1222, 1410, 1833, 2115, 3055, 3666, 4230, 5499, 6110, 9165, 10998, 18330, 27495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54975 and 54990. The biggest common factor number is the GCF number.
So the greatest common factor 54975 and 54990 is 15.

Also check out the Least Common Multiple of 54975 and 54990