What is the Greatest Common Factor of 35530 and 35547?

Greatest common factor (GCF) of 35530 and 35547 is 17.

GCF(35530,35547) = 17

We will now calculate the prime factors of 35530 and 35547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35530 and 35547.

How to find the GCF of 35530 and 35547?

We will first find the prime factorization of 35530 and 35547. After we will calculate the factors of 35530 and 35547 and find the biggest common factor number .

Step-1: Prime Factorization of 35530

Prime factors of 35530 are 2, 5, 11, 17, 19. Prime factorization of 35530 in exponential form is:

35530 = 2¹ × 5¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 35547

Prime factors of 35547 are 3, 17, 41. Prime factorization of 35547 in exponential form is:

35547 = 3¹ × 17² × 41¹

Step-3: Factors of 35530

List of positive integer factors of 35530 that divides 35530 without a remainder.

1, 2, 5, 10, 11, 17, 19, 22, 34, 38, 55, 85, 95, 110, 170, 187, 190, 209, 323, 374, 418, 646, 935, 1045, 1615, 1870, 2090, 3230, 3553, 7106, 17765

Step-4: Factors of 35547

List of positive integer factors of 35547 that divides 35530 without a remainder.

1, 3, 17, 41, 51, 123, 289, 697, 867, 2091, 11849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35530 and 35547. The biggest common factor number is the GCF number.
So the greatest common factor 35530 and 35547 is 17.

Also check out the Least Common Multiple of 35530 and 35547