What is the Greatest Common Factor of 32396 and 32409?

Greatest common factor (GCF) of 32396 and 32409 is 13.

GCF(32396,32409) = 13

We will now calculate the prime factors of 32396 and 32409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32396 and 32409.

How to find the GCF of 32396 and 32409?

We will first find the prime factorization of 32396 and 32409. After we will calculate the factors of 32396 and 32409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32409

Prime factors of 32409 are 3, 13, 277. Prime factorization of 32409 in exponential form is:

32409 = 3² × 13¹ × 277¹

Step-3: Factors of 32396

List of positive integer factors of 32396 that divides 32396 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

Step-4: Factors of 32409

List of positive integer factors of 32409 that divides 32396 without a remainder.

1, 3, 9, 13, 39, 117, 277, 831, 2493, 3601, 10803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32396 and 32409. The biggest common factor number is the GCF number.
So the greatest common factor 32396 and 32409 is 13.

Also check out the Least Common Multiple of 32396 and 32409