What is the Greatest Common Factor of 35024 and 35044?

Greatest common factor (GCF) of 35024 and 35044 is 4.

GCF(35024,35044) = 4

We will now calculate the prime factors of 35024 and 35044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35024 and 35044.

How to find the GCF of 35024 and 35044?

We will first find the prime factorization of 35024 and 35044. After we will calculate the factors of 35024 and 35044 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 35044

Prime factors of 35044 are 2, 8761. Prime factorization of 35044 in exponential form is:

35044 = 2² × 8761¹

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 35044

List of positive integer factors of 35044 that divides 35024 without a remainder.

1, 2, 4, 8761, 17522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35024 and 35044. The biggest common factor number is the GCF number.
So the greatest common factor 35024 and 35044 is 4.

Also check out the Least Common Multiple of 35024 and 35044