What is the Greatest Common Factor of 46719 and 46737?

Greatest common factor (GCF) of 46719 and 46737 is 9.

GCF(46719,46737) = 9

We will now calculate the prime factors of 46719 and 46737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46719 and 46737.

How to find the GCF of 46719 and 46737?

We will first find the prime factorization of 46719 and 46737. After we will calculate the factors of 46719 and 46737 and find the biggest common factor number .

Step-1: Prime Factorization of 46719

Prime factors of 46719 are 3, 29, 179. Prime factorization of 46719 in exponential form is:

46719 = 3² × 29¹ × 179¹

Step-2: Prime Factorization of 46737

Prime factors of 46737 are 3, 577. Prime factorization of 46737 in exponential form is:

46737 = 3⁴ × 577¹

Step-3: Factors of 46719

List of positive integer factors of 46719 that divides 46719 without a remainder.

1, 3, 9, 29, 87, 179, 261, 537, 1611, 5191, 15573

Step-4: Factors of 46737

List of positive integer factors of 46737 that divides 46719 without a remainder.

1, 3, 9, 27, 81, 577, 1731, 5193, 15579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46719 and 46737. The biggest common factor number is the GCF number.
So the greatest common factor 46719 and 46737 is 9.

Also check out the Least Common Multiple of 46719 and 46737