What is the Greatest Common Factor of 46871 and 46882?

Greatest common factor (GCF) of 46871 and 46882 is 11.

GCF(46871,46882) = 11

We will now calculate the prime factors of 46871 and 46882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46871 and 46882.

How to find the GCF of 46871 and 46882?

We will first find the prime factorization of 46871 and 46882. After we will calculate the factors of 46871 and 46882 and find the biggest common factor number .

Step-1: Prime Factorization of 46871

Prime factors of 46871 are 11, 4261. Prime factorization of 46871 in exponential form is:

46871 = 11¹ × 4261¹

Step-2: Prime Factorization of 46882

Prime factors of 46882 are 2, 11, 2131. Prime factorization of 46882 in exponential form is:

46882 = 2¹ × 11¹ × 2131¹

Step-3: Factors of 46871

List of positive integer factors of 46871 that divides 46871 without a remainder.

1, 11, 4261

Step-4: Factors of 46882

List of positive integer factors of 46882 that divides 46871 without a remainder.

1, 2, 11, 22, 2131, 4262, 23441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46871 and 46882. The biggest common factor number is the GCF number.
So the greatest common factor 46871 and 46882 is 11.

Also check out the Least Common Multiple of 46871 and 46882