What is the Greatest Common Factor of 46882 and 46893?

Greatest common factor (GCF) of 46882 and 46893 is 11.

GCF(46882,46893) = 11

We will now calculate the prime factors of 46882 and 46893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46882 and 46893.

How to find the GCF of 46882 and 46893?

We will first find the prime factorization of 46882 and 46893. After we will calculate the factors of 46882 and 46893 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46893

Prime factors of 46893 are 3, 7, 11, 29. Prime factorization of 46893 in exponential form is:

46893 = 3¹ × 7² × 11¹ × 29¹

Step-3: Factors of 46882

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

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

Step-4: Factors of 46893

List of positive integer factors of 46893 that divides 46882 without a remainder.

1, 3, 7, 11, 21, 29, 33, 49, 77, 87, 147, 203, 231, 319, 539, 609, 957, 1421, 1617, 2233, 4263, 6699, 15631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46882 and 46893. The biggest common factor number is the GCF number.
So the greatest common factor 46882 and 46893 is 11.

Also check out the Least Common Multiple of 46882 and 46893