What is the Greatest Common Factor of 46706 and 46717?

Greatest common factor (GCF) of 46706 and 46717 is 11.

GCF(46706,46717) = 11

We will now calculate the prime factors of 46706 and 46717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46706 and 46717.

How to find the GCF of 46706 and 46717?

We will first find the prime factorization of 46706 and 46717. After we will calculate the factors of 46706 and 46717 and find the biggest common factor number .

Step-1: Prime Factorization of 46706

Prime factors of 46706 are 2, 11, 193. Prime factorization of 46706 in exponential form is:

46706 = 2¹ × 11² × 193¹

Step-2: Prime Factorization of 46717

Prime factors of 46717 are 11, 31, 137. Prime factorization of 46717 in exponential form is:

46717 = 11¹ × 31¹ × 137¹

Step-3: Factors of 46706

List of positive integer factors of 46706 that divides 46706 without a remainder.

1, 2, 11, 22, 121, 193, 242, 386, 2123, 4246, 23353

Step-4: Factors of 46717

List of positive integer factors of 46717 that divides 46706 without a remainder.

1, 11, 31, 137, 341, 1507, 4247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46706 and 46717. The biggest common factor number is the GCF number.
So the greatest common factor 46706 and 46717 is 11.

Also check out the Least Common Multiple of 46706 and 46717