What is the Greatest Common Factor of 46854 and 46873?

Greatest common factor (GCF) of 46854 and 46873 is 19.

GCF(46854,46873) = 19

We will now calculate the prime factors of 46854 and 46873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46854 and 46873.

How to find the GCF of 46854 and 46873?

We will first find the prime factorization of 46854 and 46873. After we will calculate the factors of 46854 and 46873 and find the biggest common factor number .

Step-1: Prime Factorization of 46854

Prime factors of 46854 are 2, 3, 19, 137. Prime factorization of 46854 in exponential form is:

46854 = 2¹ × 3² × 19¹ × 137¹

Step-2: Prime Factorization of 46873

Prime factors of 46873 are 19, 2467. Prime factorization of 46873 in exponential form is:

46873 = 19¹ × 2467¹

Step-3: Factors of 46854

List of positive integer factors of 46854 that divides 46854 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 137, 171, 274, 342, 411, 822, 1233, 2466, 2603, 5206, 7809, 15618, 23427

Step-4: Factors of 46873

List of positive integer factors of 46873 that divides 46854 without a remainder.

1, 19, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46854 and 46873. The biggest common factor number is the GCF number.
So the greatest common factor 46854 and 46873 is 19.

Also check out the Least Common Multiple of 46854 and 46873