What is the Greatest Common Factor of 46806 and 46818?

Greatest common factor (GCF) of 46806 and 46818 is 6.

GCF(46806,46818) = 6

We will now calculate the prime factors of 46806 and 46818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46806 and 46818.

How to find the GCF of 46806 and 46818?

We will first find the prime factorization of 46806 and 46818. After we will calculate the factors of 46806 and 46818 and find the biggest common factor number .

Step-1: Prime Factorization of 46806

Prime factors of 46806 are 2, 3, 29, 269. Prime factorization of 46806 in exponential form is:

46806 = 2¹ × 3¹ × 29¹ × 269¹

Step-2: Prime Factorization of 46818

Prime factors of 46818 are 2, 3, 17. Prime factorization of 46818 in exponential form is:

46818 = 2¹ × 3⁴ × 17²

Step-3: Factors of 46806

List of positive integer factors of 46806 that divides 46806 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 269, 538, 807, 1614, 7801, 15602, 23403

Step-4: Factors of 46818

List of positive integer factors of 46818 that divides 46806 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 289, 306, 459, 578, 867, 918, 1377, 1734, 2601, 2754, 5202, 7803, 15606, 23409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46806 and 46818. The biggest common factor number is the GCF number.
So the greatest common factor 46806 and 46818 is 6.

Also check out the Least Common Multiple of 46806 and 46818