What is the Greatest Common Factor of 5585 and 5605?

Greatest common factor (GCF) of 5585 and 5605 is 5.

GCF(5585,5605) = 5

We will now calculate the prime factors of 5585 and 5605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5585 and 5605.

How to find the GCF of 5585 and 5605?

We will first find the prime factorization of 5585 and 5605. After we will calculate the factors of 5585 and 5605 and find the biggest common factor number .

Step-1: Prime Factorization of 5585

Prime factors of 5585 are 5, 1117. Prime factorization of 5585 in exponential form is:

5585 = 5¹ × 1117¹

Step-2: Prime Factorization of 5605

Prime factors of 5605 are 5, 19, 59. Prime factorization of 5605 in exponential form is:

5605 = 5¹ × 19¹ × 59¹

Step-3: Factors of 5585

List of positive integer factors of 5585 that divides 5585 without a remainder.

1, 5, 1117

Step-4: Factors of 5605

List of positive integer factors of 5605 that divides 5585 without a remainder.

1, 5, 19, 59, 95, 295, 1121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5585 and 5605. The biggest common factor number is the GCF number.
So the greatest common factor 5585 and 5605 is 5.

Also check out the Least Common Multiple of 5585 and 5605