What is the Greatest Common Factor of 35328 and 35346?

Greatest common factor (GCF) of 35328 and 35346 is 6.

GCF(35328,35346) = 6

We will now calculate the prime factors of 35328 and 35346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35328 and 35346.

How to find the GCF of 35328 and 35346?

We will first find the prime factorization of 35328 and 35346. After we will calculate the factors of 35328 and 35346 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 35346

Prime factors of 35346 are 2, 3, 43, 137. Prime factorization of 35346 in exponential form is:

35346 = 2¹ × 3¹ × 43¹ × 137¹

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 35346

List of positive integer factors of 35346 that divides 35328 without a remainder.

1, 2, 3, 6, 43, 86, 129, 137, 258, 274, 411, 822, 5891, 11782, 17673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35328 and 35346. The biggest common factor number is the GCF number.
So the greatest common factor 35328 and 35346 is 6.

Also check out the Least Common Multiple of 35328 and 35346