What is the Greatest Common Factor of 32854 and 32872?

Greatest common factor (GCF) of 32854 and 32872 is 2.

GCF(32854,32872) = 2

We will now calculate the prime factors of 32854 and 32872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32854 and 32872.

How to find the GCF of 32854 and 32872?

We will first find the prime factorization of 32854 and 32872. After we will calculate the factors of 32854 and 32872 and find the biggest common factor number .

Step-1: Prime Factorization of 32854

Prime factors of 32854 are 2, 16427. Prime factorization of 32854 in exponential form is:

32854 = 2¹ × 16427¹

Step-2: Prime Factorization of 32872

Prime factors of 32872 are 2, 7, 587. Prime factorization of 32872 in exponential form is:

32872 = 2³ × 7¹ × 587¹

Step-3: Factors of 32854

List of positive integer factors of 32854 that divides 32854 without a remainder.

1, 2, 16427

Step-4: Factors of 32872

List of positive integer factors of 32872 that divides 32854 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 587, 1174, 2348, 4109, 4696, 8218, 16436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32854 and 32872. The biggest common factor number is the GCF number.
So the greatest common factor 32854 and 32872 is 2.

Also check out the Least Common Multiple of 32854 and 32872