What is the Greatest Common Factor of 32919 and 32928?

Greatest common factor (GCF) of 32919 and 32928 is 3.

GCF(32919,32928) = 3

We will now calculate the prime factors of 32919 and 32928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32919 and 32928.

How to find the GCF of 32919 and 32928?

We will first find the prime factorization of 32919 and 32928. After we will calculate the factors of 32919 and 32928 and find the biggest common factor number .

Step-1: Prime Factorization of 32919

Prime factors of 32919 are 3, 10973. Prime factorization of 32919 in exponential form is:

32919 = 3¹ × 10973¹

Step-2: 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-3: Factors of 32919

List of positive integer factors of 32919 that divides 32919 without a remainder.

1, 3, 10973

Step-4: Factors of 32928

List of positive integer factors of 32928 that divides 32919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32919 and 32928. The biggest common factor number is the GCF number.
So the greatest common factor 32919 and 32928 is 3.

Also check out the Least Common Multiple of 32919 and 32928