What is the Greatest Common Factor of 46827 and 46839?

Greatest common factor (GCF) of 46827 and 46839 is 3.

GCF(46827,46839) = 3

We will now calculate the prime factors of 46827 and 46839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46827 and 46839.

How to find the GCF of 46827 and 46839?

We will first find the prime factorization of 46827 and 46839. After we will calculate the factors of 46827 and 46839 and find the biggest common factor number .

Step-1: Prime Factorization of 46827

Prime factors of 46827 are 3, 11, 43. Prime factorization of 46827 in exponential form is:

46827 = 3² × 11² × 43¹

Step-2: Prime Factorization of 46839

Prime factors of 46839 are 3, 13, 1201. Prime factorization of 46839 in exponential form is:

46839 = 3¹ × 13¹ × 1201¹

Step-3: Factors of 46827

List of positive integer factors of 46827 that divides 46827 without a remainder.

1, 3, 9, 11, 33, 43, 99, 121, 129, 363, 387, 473, 1089, 1419, 4257, 5203, 15609

Step-4: Factors of 46839

List of positive integer factors of 46839 that divides 46827 without a remainder.

1, 3, 13, 39, 1201, 3603, 15613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46827 and 46839. The biggest common factor number is the GCF number.
So the greatest common factor 46827 and 46839 is 3.

Also check out the Least Common Multiple of 46827 and 46839