What is the Greatest Common Factor of 17553 and 17565?

Greatest common factor (GCF) of 17553 and 17565 is 3.

GCF(17553,17565) = 3

We will now calculate the prime factors of 17553 and 17565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17553 and 17565.

How to find the GCF of 17553 and 17565?

We will first find the prime factorization of 17553 and 17565. After we will calculate the factors of 17553 and 17565 and find the biggest common factor number .

Step-1: Prime Factorization of 17553

Prime factors of 17553 are 3, 5851. Prime factorization of 17553 in exponential form is:

17553 = 3¹ × 5851¹

Step-2: Prime Factorization of 17565

Prime factors of 17565 are 3, 5, 1171. Prime factorization of 17565 in exponential form is:

17565 = 3¹ × 5¹ × 1171¹

Step-3: Factors of 17553

List of positive integer factors of 17553 that divides 17553 without a remainder.

1, 3, 5851

Step-4: Factors of 17565

List of positive integer factors of 17565 that divides 17553 without a remainder.

1, 3, 5, 15, 1171, 3513, 5855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17553 and 17565. The biggest common factor number is the GCF number.
So the greatest common factor 17553 and 17565 is 3.

Also check out the Least Common Multiple of 17553 and 17565