What is the Greatest Common Factor of 46854 and 46863?

Greatest common factor (GCF) of 46854 and 46863 is 9.

GCF(46854,46863) = 9

We will now calculate the prime factors of 46854 and 46863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46854 and 46863.

How to find the GCF of 46854 and 46863?

We will first find the prime factorization of 46854 and 46863. After we will calculate the factors of 46854 and 46863 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 46863

Prime factors of 46863 are 3, 41, 127. Prime factorization of 46863 in exponential form is:

46863 = 3² × 41¹ × 127¹

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 46863

List of positive integer factors of 46863 that divides 46854 without a remainder.

1, 3, 9, 41, 123, 127, 369, 381, 1143, 5207, 15621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46854 and 46863. The biggest common factor number is the GCF number.
So the greatest common factor 46854 and 46863 is 9.

Also check out the Least Common Multiple of 46854 and 46863