What is the Greatest Common Factor of 46731 and 46746?

Greatest common factor (GCF) of 46731 and 46746 is 3.

GCF(46731,46746) = 3

We will now calculate the prime factors of 46731 and 46746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46731 and 46746.

How to find the GCF of 46731 and 46746?

We will first find the prime factorization of 46731 and 46746. After we will calculate the factors of 46731 and 46746 and find the biggest common factor number .

Step-1: Prime Factorization of 46731

Prime factors of 46731 are 3, 37, 421. Prime factorization of 46731 in exponential form is:

46731 = 3¹ × 37¹ × 421¹

Step-2: Prime Factorization of 46746

Prime factors of 46746 are 2, 3, 7, 53. Prime factorization of 46746 in exponential form is:

46746 = 2¹ × 3² × 7² × 53¹

Step-3: Factors of 46731

List of positive integer factors of 46731 that divides 46731 without a remainder.

1, 3, 37, 111, 421, 1263, 15577

Step-4: Factors of 46746

List of positive integer factors of 46746 that divides 46731 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 53, 63, 98, 106, 126, 147, 159, 294, 318, 371, 441, 477, 742, 882, 954, 1113, 2226, 2597, 3339, 5194, 6678, 7791, 15582, 23373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46731 and 46746. The biggest common factor number is the GCF number.
So the greatest common factor 46731 and 46746 is 3.

Also check out the Least Common Multiple of 46731 and 46746