What is the Greatest Common Factor of 54990 and 55003?

Greatest common factor (GCF) of 54990 and 55003 is 13.

GCF(54990,55003) = 13

We will now calculate the prime factors of 54990 and 55003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54990 and 55003.

How to find the GCF of 54990 and 55003?

We will first find the prime factorization of 54990 and 55003. After we will calculate the factors of 54990 and 55003 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 55003

Prime factors of 55003 are 13, 4231. Prime factorization of 55003 in exponential form is:

55003 = 13¹ × 4231¹

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 55003

List of positive integer factors of 55003 that divides 54990 without a remainder.

1, 13, 4231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54990 and 55003. The biggest common factor number is the GCF number.
So the greatest common factor 54990 and 55003 is 13.

Also check out the Least Common Multiple of 54990 and 55003