What is the Greatest Common Factor of 35524 and 35530?

Greatest common factor (GCF) of 35524 and 35530 is 2.

GCF(35524,35530) = 2

We will now calculate the prime factors of 35524 and 35530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35524 and 35530.

How to find the GCF of 35524 and 35530?

We will first find the prime factorization of 35524 and 35530. After we will calculate the factors of 35524 and 35530 and find the biggest common factor number .

Step-1: Prime Factorization of 35524

Prime factors of 35524 are 2, 83, 107. Prime factorization of 35524 in exponential form is:

35524 = 2² × 83¹ × 107¹

Step-2: 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-3: Factors of 35524

List of positive integer factors of 35524 that divides 35524 without a remainder.

1, 2, 4, 83, 107, 166, 214, 332, 428, 8881, 17762

Step-4: Factors of 35530

List of positive integer factors of 35530 that divides 35524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35524 and 35530. The biggest common factor number is the GCF number.
So the greatest common factor 35524 and 35530 is 2.

Also check out the Least Common Multiple of 35524 and 35530