What is the Greatest Common Factor of 17537 and 17550?

Greatest common factor (GCF) of 17537 and 17550 is 13.

GCF(17537,17550) = 13

We will now calculate the prime factors of 17537 and 17550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17537 and 17550.

How to find the GCF of 17537 and 17550?

We will first find the prime factorization of 17537 and 17550. After we will calculate the factors of 17537 and 17550 and find the biggest common factor number .

Step-1: Prime Factorization of 17537

Prime factors of 17537 are 13, 19, 71. Prime factorization of 17537 in exponential form is:

17537 = 13¹ × 19¹ × 71¹

Step-2: 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-3: Factors of 17537

List of positive integer factors of 17537 that divides 17537 without a remainder.

1, 13, 19, 71, 247, 923, 1349

Step-4: Factors of 17550

List of positive integer factors of 17550 that divides 17537 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17537 and 17550. The biggest common factor number is the GCF number.
So the greatest common factor 17537 and 17550 is 13.

Also check out the Least Common Multiple of 17537 and 17550