What is the Greatest Common Factor of 35504 and 35509?

Greatest common factor (GCF) of 35504 and 35509 is 1.

GCF(35504,35509) = 1

We will now calculate the prime factors of 35504 and 35509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35504 and 35509.

How to find the GCF of 35504 and 35509?

We will first find the prime factorization of 35504 and 35509. After we will calculate the factors of 35504 and 35509 and find the biggest common factor number .

Step-1: Prime Factorization of 35504

Prime factors of 35504 are 2, 7, 317. Prime factorization of 35504 in exponential form is:

35504 = 2⁴ × 7¹ × 317¹

Step-2: Prime Factorization of 35509

Prime factors of 35509 are 35509. Prime factorization of 35509 in exponential form is:

35509 = 35509¹

Step-3: Factors of 35504

List of positive integer factors of 35504 that divides 35504 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 317, 634, 1268, 2219, 2536, 4438, 5072, 8876, 17752

Step-4: Factors of 35509

List of positive integer factors of 35509 that divides 35504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35504 and 35509. The biggest common factor number is the GCF number.
So the greatest common factor 35504 and 35509 is 1.

Also check out the Least Common Multiple of 35504 and 35509