What is the Greatest Common Factor of 35232 and 35248?

Greatest common factor (GCF) of 35232 and 35248 is 16.

GCF(35232,35248) = 16

We will now calculate the prime factors of 35232 and 35248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35232 and 35248.

How to find the GCF of 35232 and 35248?

We will first find the prime factorization of 35232 and 35248. After we will calculate the factors of 35232 and 35248 and find the biggest common factor number .

Step-1: Prime Factorization of 35232

Prime factors of 35232 are 2, 3, 367. Prime factorization of 35232 in exponential form is:

35232 = 2⁵ × 3¹ × 367¹

Step-2: Prime Factorization of 35248

Prime factors of 35248 are 2, 2203. Prime factorization of 35248 in exponential form is:

35248 = 2⁴ × 2203¹

Step-3: Factors of 35232

List of positive integer factors of 35232 that divides 35232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808, 11744, 17616

Step-4: Factors of 35248

List of positive integer factors of 35248 that divides 35232 without a remainder.

1, 2, 4, 8, 16, 2203, 4406, 8812, 17624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35232 and 35248. The biggest common factor number is the GCF number.
So the greatest common factor 35232 and 35248 is 16.

Also check out the Least Common Multiple of 35232 and 35248