What is the Greatest Common Factor of 32928 and 32942?

Greatest common factor (GCF) of 32928 and 32942 is 14.

GCF(32928,32942) = 14

We will now calculate the prime factors of 32928 and 32942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32928 and 32942.

How to find the GCF of 32928 and 32942?

We will first find the prime factorization of 32928 and 32942. After we will calculate the factors of 32928 and 32942 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 32942

Prime factors of 32942 are 2, 7, 13, 181. Prime factorization of 32942 in exponential form is:

32942 = 2¹ × 7¹ × 13¹ × 181¹

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 32942

List of positive integer factors of 32942 that divides 32928 without a remainder.

1, 2, 7, 13, 14, 26, 91, 181, 182, 362, 1267, 2353, 2534, 4706, 16471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32928 and 32942. The biggest common factor number is the GCF number.
So the greatest common factor 32928 and 32942 is 14.

Also check out the Least Common Multiple of 32928 and 32942