What is the Greatest Common Factor of 5565 and 5585?

Greatest common factor (GCF) of 5565 and 5585 is 5.

GCF(5565,5585) = 5

We will now calculate the prime factors of 5565 and 5585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5565 and 5585.

How to find the GCF of 5565 and 5585?

We will first find the prime factorization of 5565 and 5585. After we will calculate the factors of 5565 and 5585 and find the biggest common factor number .

Step-1: Prime Factorization of 5565

Prime factors of 5565 are 3, 5, 7, 53. Prime factorization of 5565 in exponential form is:

5565 = 3¹ × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 5585

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

5585 = 5¹ × 1117¹

Step-3: Factors of 5565

List of positive integer factors of 5565 that divides 5565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855

Step-4: Factors of 5585

List of positive integer factors of 5585 that divides 5565 without a remainder.

1, 5, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5565 and 5585. The biggest common factor number is the GCF number.
So the greatest common factor 5565 and 5585 is 5.

Also check out the Least Common Multiple of 5565 and 5585