What is the Greatest Common Factor of 5545 and 5555?

Greatest common factor (GCF) of 5545 and 5555 is 5.

GCF(5545,5555) = 5

We will now calculate the prime factors of 5545 and 5555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5545 and 5555.

How to find the GCF of 5545 and 5555?

We will first find the prime factorization of 5545 and 5555. After we will calculate the factors of 5545 and 5555 and find the biggest common factor number .

Step-1: Prime Factorization of 5545

Prime factors of 5545 are 5, 1109. Prime factorization of 5545 in exponential form is:

5545 = 5¹ × 1109¹

Step-2: Prime Factorization of 5555

Prime factors of 5555 are 5, 11, 101. Prime factorization of 5555 in exponential form is:

5555 = 5¹ × 11¹ × 101¹

Step-3: Factors of 5545

List of positive integer factors of 5545 that divides 5545 without a remainder.

1, 5, 1109

Step-4: Factors of 5555

List of positive integer factors of 5555 that divides 5545 without a remainder.

1, 5, 11, 55, 101, 505, 1111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5545 and 5555. The biggest common factor number is the GCF number.
So the greatest common factor 5545 and 5555 is 5.

Also check out the Least Common Multiple of 5545 and 5555