What is the Greatest Common Factor of 35328 and 35347?

Greatest common factor (GCF) of 35328 and 35347 is 1.

GCF(35328,35347) = 1

We will now calculate the prime factors of 35328 and 35347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35328 and 35347.

How to find the GCF of 35328 and 35347?

We will first find the prime factorization of 35328 and 35347. After we will calculate the factors of 35328 and 35347 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 35347

Prime factors of 35347 are 13, 2719. Prime factorization of 35347 in exponential form is:

35347 = 13¹ × 2719¹

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 35347

List of positive integer factors of 35347 that divides 35328 without a remainder.

1, 13, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35328 and 35347. The biggest common factor number is the GCF number.
So the greatest common factor 35328 and 35347 is 1.

Also check out the Least Common Multiple of 35328 and 35347