What is the Greatest Common Factor of 35024 and 35035?

Greatest common factor (GCF) of 35024 and 35035 is 11.

GCF(35024,35035) = 11

We will now calculate the prime factors of 35024 and 35035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35024 and 35035.

How to find the GCF of 35024 and 35035?

We will first find the prime factorization of 35024 and 35035. After we will calculate the factors of 35024 and 35035 and find the biggest common factor number .

Step-1: Prime Factorization of 35024

Prime factors of 35024 are 2, 11, 199. Prime factorization of 35024 in exponential form is:

35024 = 2⁴ × 11¹ × 199¹

Step-2: Prime Factorization of 35035

Prime factors of 35035 are 5, 7, 11, 13. Prime factorization of 35035 in exponential form is:

35035 = 5¹ × 7² × 11¹ × 13¹

Step-3: Factors of 35024

List of positive integer factors of 35024 that divides 35024 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 199, 398, 796, 1592, 2189, 3184, 4378, 8756, 17512

Step-4: Factors of 35035

List of positive integer factors of 35035 that divides 35024 without a remainder.

1, 5, 7, 11, 13, 35, 49, 55, 65, 77, 91, 143, 245, 385, 455, 539, 637, 715, 1001, 2695, 3185, 5005, 7007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35024 and 35035. The biggest common factor number is the GCF number.
So the greatest common factor 35024 and 35035 is 11.

Also check out the Least Common Multiple of 35024 and 35035