What is the Greatest Common Factor of 54990 and 55008?

Greatest common factor (GCF) of 54990 and 55008 is 18.

GCF(54990,55008) = 18

We will now calculate the prime factors of 54990 and 55008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54990 and 55008.

How to find the GCF of 54990 and 55008?

We will first find the prime factorization of 54990 and 55008. After we will calculate the factors of 54990 and 55008 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55008

Prime factors of 55008 are 2, 3, 191. Prime factorization of 55008 in exponential form is:

55008 = 2⁵ × 3² × 191¹

Step-3: Factors of 54990

List of positive integer factors of 54990 that divides 54990 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

Step-4: Factors of 55008

List of positive integer factors of 55008 that divides 54990 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 191, 288, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6112, 6876, 9168, 13752, 18336, 27504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54990 and 55008. The biggest common factor number is the GCF number.
So the greatest common factor 54990 and 55008 is 18.

Also check out the Least Common Multiple of 54990 and 55008