What is the Greatest Common Factor of 46836 and 46854?

Greatest common factor (GCF) of 46836 and 46854 is 18.

GCF(46836,46854) = 18

We will now calculate the prime factors of 46836 and 46854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46836 and 46854.

How to find the GCF of 46836 and 46854?

We will first find the prime factorization of 46836 and 46854. After we will calculate the factors of 46836 and 46854 and find the biggest common factor number .

Step-1: Prime Factorization of 46836

Prime factors of 46836 are 2, 3, 1301. Prime factorization of 46836 in exponential form is:

46836 = 2² × 3² × 1301¹

Step-2: 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-3: Factors of 46836

List of positive integer factors of 46836 that divides 46836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1301, 2602, 3903, 5204, 7806, 11709, 15612, 23418

Step-4: Factors of 46854

List of positive integer factors of 46854 that divides 46836 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46836 and 46854. The biggest common factor number is the GCF number.
So the greatest common factor 46836 and 46854 is 18.

Also check out the Least Common Multiple of 46836 and 46854