What is the Greatest Common Factor of 5480 and 5500?

Greatest common factor (GCF) of 5480 and 5500 is 20.

GCF(5480,5500) = 20

We will now calculate the prime factors of 5480 and 5500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5480 and 5500.

How to find the GCF of 5480 and 5500?

We will first find the prime factorization of 5480 and 5500. After we will calculate the factors of 5480 and 5500 and find the biggest common factor number .

Step-1: Prime Factorization of 5480

Prime factors of 5480 are 2, 5, 137. Prime factorization of 5480 in exponential form is:

5480 = 2³ × 5¹ × 137¹

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 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740

Step-4: Factors of 5500

List of positive integer factors of 5500 that divides 5480 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 5480 and 5500. The biggest common factor number is the GCF number.
So the greatest common factor 5480 and 5500 is 20.

Also check out the Least Common Multiple of 5480 and 5500