What is the Greatest Common Factor of 35530 and 35535?

Greatest common factor (GCF) of 35530 and 35535 is 5.

GCF(35530,35535) = 5

We will now calculate the prime factors of 35530 and 35535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35530 and 35535.

How to find the GCF of 35530 and 35535?

We will first find the prime factorization of 35530 and 35535. After we will calculate the factors of 35530 and 35535 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 35535

Prime factors of 35535 are 3, 5, 23, 103. Prime factorization of 35535 in exponential form is:

35535 = 3¹ × 5¹ × 23¹ × 103¹

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 35535

List of positive integer factors of 35535 that divides 35530 without a remainder.

1, 3, 5, 15, 23, 69, 103, 115, 309, 345, 515, 1545, 2369, 7107, 11845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35530 and 35535. The biggest common factor number is the GCF number.
So the greatest common factor 35530 and 35535 is 5.

Also check out the Least Common Multiple of 35530 and 35535