What is the Greatest Common Factor of 32320 and 32338?

Greatest common factor (GCF) of 32320 and 32338 is 2.

GCF(32320,32338) = 2

We will now calculate the prime factors of 32320 and 32338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32320 and 32338.

How to find the GCF of 32320 and 32338?

We will first find the prime factorization of 32320 and 32338. After we will calculate the factors of 32320 and 32338 and find the biggest common factor number .

Step-1: Prime Factorization of 32320

Prime factors of 32320 are 2, 5, 101. Prime factorization of 32320 in exponential form is:

32320 = 2⁶ × 5¹ × 101¹

Step-2: Prime Factorization of 32338

Prime factors of 32338 are 2, 19, 23, 37. Prime factorization of 32338 in exponential form is:

32338 = 2¹ × 19¹ × 23¹ × 37¹

Step-3: Factors of 32320

List of positive integer factors of 32320 that divides 32320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 101, 160, 202, 320, 404, 505, 808, 1010, 1616, 2020, 3232, 4040, 6464, 8080, 16160

Step-4: Factors of 32338

List of positive integer factors of 32338 that divides 32320 without a remainder.

1, 2, 19, 23, 37, 38, 46, 74, 437, 703, 851, 874, 1406, 1702, 16169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32320 and 32338. The biggest common factor number is the GCF number.
So the greatest common factor 32320 and 32338 is 2.

Also check out the Least Common Multiple of 32320 and 32338