What is the Greatest Common Factor of 35504 and 35513?

Greatest common factor (GCF) of 35504 and 35513 is 1.

GCF(35504,35513) = 1

We will now calculate the prime factors of 35504 and 35513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35504 and 35513.

How to find the GCF of 35504 and 35513?

We will first find the prime factorization of 35504 and 35513. After we will calculate the factors of 35504 and 35513 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 35513

Prime factors of 35513 are 17, 2089. Prime factorization of 35513 in exponential form is:

35513 = 17¹ × 2089¹

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 35513

List of positive integer factors of 35513 that divides 35504 without a remainder.

1, 17, 2089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35504 and 35513. The biggest common factor number is the GCF number.
So the greatest common factor 35504 and 35513 is 1.

Also check out the Least Common Multiple of 35504 and 35513