What is the Greatest Common Factor of 17550 and 17565?

Greatest common factor (GCF) of 17550 and 17565 is 15.

GCF(17550,17565) = 15

We will now calculate the prime factors of 17550 and 17565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17550 and 17565.

How to find the GCF of 17550 and 17565?

We will first find the prime factorization of 17550 and 17565. After we will calculate the factors of 17550 and 17565 and find the biggest common factor number .

Step-1: Prime Factorization of 17550

Prime factors of 17550 are 2, 3, 5, 13. Prime factorization of 17550 in exponential form is:

17550 = 2¹ × 3³ × 5² × 13¹

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 17550

List of positive integer factors of 17550 that divides 17550 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 90, 117, 130, 135, 150, 195, 225, 234, 270, 325, 351, 390, 450, 585, 650, 675, 702, 975, 1170, 1350, 1755, 1950, 2925, 3510, 5850, 8775

Step-4: Factors of 17565

List of positive integer factors of 17565 that divides 17550 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17550 and 17565. The biggest common factor number is the GCF number.
So the greatest common factor 17550 and 17565 is 15.

Also check out the Least Common Multiple of 17550 and 17565