What is the Greatest Common Factor of 32928 and 32947?

Greatest common factor (GCF) of 32928 and 32947 is 1.

GCF(32928,32947) = 1

We will now calculate the prime factors of 32928 and 32947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32928 and 32947.

How to find the GCF of 32928 and 32947?

We will first find the prime factorization of 32928 and 32947. After we will calculate the factors of 32928 and 32947 and find the biggest common factor number .

Step-1: Prime Factorization of 32928

Prime factors of 32928 are 2, 3, 7. Prime factorization of 32928 in exponential form is:

32928 = 2⁵ × 3¹ × 7³

Step-2: Prime Factorization of 32947

Prime factors of 32947 are 47, 701. Prime factorization of 32947 in exponential form is:

32947 = 47¹ × 701¹

Step-3: Factors of 32928

List of positive integer factors of 32928 that divides 32928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 343, 392, 588, 672, 686, 784, 1029, 1176, 1372, 1568, 2058, 2352, 2744, 4116, 4704, 5488, 8232, 10976, 16464

Step-4: Factors of 32947

List of positive integer factors of 32947 that divides 32928 without a remainder.

1, 47, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32928 and 32947. The biggest common factor number is the GCF number.
So the greatest common factor 32928 and 32947 is 1.

Also check out the Least Common Multiple of 32928 and 32947