What is the Greatest Common Factor of 54972 and 54990?

Greatest common factor (GCF) of 54972 and 54990 is 18.

GCF(54972,54990) = 18

We will now calculate the prime factors of 54972 and 54990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54972 and 54990.

How to find the GCF of 54972 and 54990?

We will first find the prime factorization of 54972 and 54990. After we will calculate the factors of 54972 and 54990 and find the biggest common factor number .

Step-1: Prime Factorization of 54972

Prime factors of 54972 are 2, 3, 509. Prime factorization of 54972 in exponential form is:

54972 = 2² × 3³ × 509¹

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 54972

List of positive integer factors of 54972 that divides 54972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162, 13743, 18324, 27486

Step-4: Factors of 54990

List of positive integer factors of 54990 that divides 54972 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 54972 and 54990. The biggest common factor number is the GCF number.
So the greatest common factor 54972 and 54990 is 18.

Also check out the Least Common Multiple of 54972 and 54990