What is the Greatest Common Factor of 32382 and 32396?

Greatest common factor (GCF) of 32382 and 32396 is 14.

GCF(32382,32396) = 14

We will now calculate the prime factors of 32382 and 32396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32382 and 32396.

How to find the GCF of 32382 and 32396?

We will first find the prime factorization of 32382 and 32396. After we will calculate the factors of 32382 and 32396 and find the biggest common factor number .

Step-1: Prime Factorization of 32382

Prime factors of 32382 are 2, 3, 7, 257. Prime factorization of 32382 in exponential form is:

32382 = 2¹ × 3² × 7¹ × 257¹

Step-2: Prime Factorization of 32396

Prime factors of 32396 are 2, 7, 13, 89. Prime factorization of 32396 in exponential form is:

32396 = 2² × 7¹ × 13¹ × 89¹

Step-3: Factors of 32382

List of positive integer factors of 32382 that divides 32382 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 257, 514, 771, 1542, 1799, 2313, 3598, 4626, 5397, 10794, 16191

Step-4: Factors of 32396

List of positive integer factors of 32396 that divides 32382 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 89, 91, 178, 182, 356, 364, 623, 1157, 1246, 2314, 2492, 4628, 8099, 16198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32382 and 32396. The biggest common factor number is the GCF number.
So the greatest common factor 32382 and 32396 is 14.

Also check out the Least Common Multiple of 32382 and 32396