What is the Greatest Common Factor of 46801 and 46818?

Greatest common factor (GCF) of 46801 and 46818 is 17.

GCF(46801,46818) = 17

We will now calculate the prime factors of 46801 and 46818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46801 and 46818.

How to find the GCF of 46801 and 46818?

We will first find the prime factorization of 46801 and 46818. After we will calculate the factors of 46801 and 46818 and find the biggest common factor number .

Step-1: Prime Factorization of 46801

Prime factors of 46801 are 17, 2753. Prime factorization of 46801 in exponential form is:

46801 = 17¹ × 2753¹

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 46801

List of positive integer factors of 46801 that divides 46801 without a remainder.

1, 17, 2753

Step-4: Factors of 46818

List of positive integer factors of 46818 that divides 46801 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 46801 and 46818. The biggest common factor number is the GCF number.
So the greatest common factor 46801 and 46818 is 17.

Also check out the Least Common Multiple of 46801 and 46818