What is the Greatest Common Factor of 32846 and 32854?

Greatest common factor (GCF) of 32846 and 32854 is 2.

GCF(32846,32854) = 2

We will now calculate the prime factors of 32846 and 32854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32846 and 32854.

How to find the GCF of 32846 and 32854?

We will first find the prime factorization of 32846 and 32854. After we will calculate the factors of 32846 and 32854 and find the biggest common factor number .

Step-1: Prime Factorization of 32846

Prime factors of 32846 are 2, 11, 1493. Prime factorization of 32846 in exponential form is:

32846 = 2¹ × 11¹ × 1493¹

Step-2: Prime Factorization of 32854

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

32854 = 2¹ × 16427¹

Step-3: Factors of 32846

List of positive integer factors of 32846 that divides 32846 without a remainder.

1, 2, 11, 22, 1493, 2986, 16423

Step-4: Factors of 32854

List of positive integer factors of 32854 that divides 32846 without a remainder.

1, 2, 16427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32846 and 32854. The biggest common factor number is the GCF number.
So the greatest common factor 32846 and 32854 is 2.

Also check out the Least Common Multiple of 32846 and 32854