What is the Greatest Common Factor of 35328 and 35344?

Greatest common factor (GCF) of 35328 and 35344 is 16.

GCF(35328,35344) = 16

We will now calculate the prime factors of 35328 and 35344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35328 and 35344.

How to find the GCF of 35328 and 35344?

We will first find the prime factorization of 35328 and 35344. After we will calculate the factors of 35328 and 35344 and find the biggest common factor number .

Step-1: Prime Factorization of 35328

Prime factors of 35328 are 2, 3, 23. Prime factorization of 35328 in exponential form is:

35328 = 2⁹ × 3¹ × 23¹

Step-2: Prime Factorization of 35344

Prime factors of 35344 are 2, 47. Prime factorization of 35344 in exponential form is:

35344 = 2⁴ × 47²

Step-3: Factors of 35328

List of positive integer factors of 35328 that divides 35328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 256, 276, 368, 384, 512, 552, 736, 768, 1104, 1472, 1536, 2208, 2944, 4416, 5888, 8832, 11776, 17664

Step-4: Factors of 35344

List of positive integer factors of 35344 that divides 35328 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752, 2209, 4418, 8836, 17672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35328 and 35344. The biggest common factor number is the GCF number.
So the greatest common factor 35328 and 35344 is 16.

Also check out the Least Common Multiple of 35328 and 35344