What is the Greatest Common Factor of 35488 and 35504?

Greatest common factor (GCF) of 35488 and 35504 is 16.

GCF(35488,35504) = 16

We will now calculate the prime factors of 35488 and 35504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35488 and 35504.

How to find the GCF of 35488 and 35504?

We will first find the prime factorization of 35488 and 35504. After we will calculate the factors of 35488 and 35504 and find the biggest common factor number .

Step-1: Prime Factorization of 35488

Prime factors of 35488 are 2, 1109. Prime factorization of 35488 in exponential form is:

35488 = 2⁵ × 1109¹

Step-2: 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-3: Factors of 35488

List of positive integer factors of 35488 that divides 35488 without a remainder.

1, 2, 4, 8, 16, 32, 1109, 2218, 4436, 8872, 17744

Step-4: Factors of 35504

List of positive integer factors of 35504 that divides 35488 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35488 and 35504. The biggest common factor number is the GCF number.
So the greatest common factor 35488 and 35504 is 16.

Also check out the Least Common Multiple of 35488 and 35504