What is the Greatest Common Factor of 32354 and 32372?

Greatest common factor (GCF) of 32354 and 32372 is 2.

GCF(32354,32372) = 2

We will now calculate the prime factors of 32354 and 32372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32354 and 32372.

How to find the GCF of 32354 and 32372?

We will first find the prime factorization of 32354 and 32372. After we will calculate the factors of 32354 and 32372 and find the biggest common factor number .

Step-1: Prime Factorization of 32354

Prime factors of 32354 are 2, 7, 2311. Prime factorization of 32354 in exponential form is:

32354 = 2¹ × 7¹ × 2311¹

Step-2: Prime Factorization of 32372

Prime factors of 32372 are 2, 8093. Prime factorization of 32372 in exponential form is:

32372 = 2² × 8093¹

Step-3: Factors of 32354

List of positive integer factors of 32354 that divides 32354 without a remainder.

1, 2, 7, 14, 2311, 4622, 16177

Step-4: Factors of 32372

List of positive integer factors of 32372 that divides 32354 without a remainder.

1, 2, 4, 8093, 16186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32354 and 32372. The biggest common factor number is the GCF number.
So the greatest common factor 32354 and 32372 is 2.

Also check out the Least Common Multiple of 32354 and 32372