What is the Greatest Common Factor of 46854 and 46859?

Greatest common factor (GCF) of 46854 and 46859 is 1.

GCF(46854,46859) = 1

We will now calculate the prime factors of 46854 and 46859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46854 and 46859.

How to find the GCF of 46854 and 46859?

We will first find the prime factorization of 46854 and 46859. After we will calculate the factors of 46854 and 46859 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 46859

Prime factors of 46859 are 47, 997. Prime factorization of 46859 in exponential form is:

46859 = 47¹ × 997¹

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 46859

List of positive integer factors of 46859 that divides 46854 without a remainder.

1, 47, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46854 and 46859. The biggest common factor number is the GCF number.
So the greatest common factor 46854 and 46859 is 1.

Also check out the Least Common Multiple of 46854 and 46859