What is the Greatest Common Factor of 32333 and 32352?

Greatest common factor (GCF) of 32333 and 32352 is 1.

GCF(32333,32352) = 1

We will now calculate the prime factors of 32333 and 32352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32333 and 32352.

How to find the GCF of 32333 and 32352?

We will first find the prime factorization of 32333 and 32352. After we will calculate the factors of 32333 and 32352 and find the biggest common factor number .

Step-1: Prime Factorization of 32333

Prime factors of 32333 are 7, 31, 149. Prime factorization of 32333 in exponential form is:

32333 = 7¹ × 31¹ × 149¹

Step-2: Prime Factorization of 32352

Prime factors of 32352 are 2, 3, 337. Prime factorization of 32352 in exponential form is:

32352 = 2⁵ × 3¹ × 337¹

Step-3: Factors of 32333

List of positive integer factors of 32333 that divides 32333 without a remainder.

1, 7, 31, 149, 217, 1043, 4619

Step-4: Factors of 32352

List of positive integer factors of 32352 that divides 32333 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 337, 674, 1011, 1348, 2022, 2696, 4044, 5392, 8088, 10784, 16176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32333 and 32352. The biggest common factor number is the GCF number.
So the greatest common factor 32333 and 32352 is 1.

Also check out the Least Common Multiple of 32333 and 32352