What is the Greatest Common Factor of 32396 and 32407?

Greatest common factor (GCF) of 32396 and 32407 is 1.

GCF(32396,32407) = 1

We will now calculate the prime factors of 32396 and 32407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32396 and 32407.

How to find the GCF of 32396 and 32407?

We will first find the prime factorization of 32396 and 32407. After we will calculate the factors of 32396 and 32407 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 32407

Prime factors of 32407 are 23, 1409. Prime factorization of 32407 in exponential form is:

32407 = 23¹ × 1409¹

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 32407

List of positive integer factors of 32407 that divides 32396 without a remainder.

1, 23, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32396 and 32407. The biggest common factor number is the GCF number.
So the greatest common factor 32396 and 32407 is 1.

Also check out the Least Common Multiple of 32396 and 32407