What is the Greatest Common Factor of 5490 and 5500?

Greatest common factor (GCF) of 5490 and 5500 is 10.

GCF(5490,5500) = 10

We will now calculate the prime factors of 5490 and 5500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5490 and 5500.

How to find the GCF of 5490 and 5500?

We will first find the prime factorization of 5490 and 5500. After we will calculate the factors of 5490 and 5500 and find the biggest common factor number .

Step-1: Prime Factorization of 5490

Prime factors of 5490 are 2, 3, 5, 61. Prime factorization of 5490 in exponential form is:

5490 = 2¹ × 3² × 5¹ × 61¹

Step-2: Prime Factorization of 5500

Prime factors of 5500 are 2, 5, 11. Prime factorization of 5500 in exponential form is:

5500 = 2² × 5³ × 11¹

Step-3: Factors of 5490

List of positive integer factors of 5490 that divides 5490 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745

Step-4: Factors of 5500

List of positive integer factors of 5500 that divides 5490 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5490 and 5500. The biggest common factor number is the GCF number.
So the greatest common factor 5490 and 5500 is 10.

Also check out the Least Common Multiple of 5490 and 5500