What is the Greatest Common Factor of 5540 and 5550?

Greatest common factor (GCF) of 5540 and 5550 is 10.

GCF(5540,5550) = 10

We will now calculate the prime factors of 5540 and 5550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5540 and 5550.

How to find the GCF of 5540 and 5550?

We will first find the prime factorization of 5540 and 5550. After we will calculate the factors of 5540 and 5550 and find the biggest common factor number .

Step-1: Prime Factorization of 5540

Prime factors of 5540 are 2, 5, 277. Prime factorization of 5540 in exponential form is:

5540 = 2² × 5¹ × 277¹

Step-2: Prime Factorization of 5550

Prime factors of 5550 are 2, 3, 5, 37. Prime factorization of 5550 in exponential form is:

5550 = 2¹ × 3¹ × 5² × 37¹

Step-3: Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770

Step-4: Factors of 5550

List of positive integer factors of 5550 that divides 5540 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5540 and 5550. The biggest common factor number is the GCF number.
So the greatest common factor 5540 and 5550 is 10.

Also check out the Least Common Multiple of 5540 and 5550