What is the Greatest Common Factor of 46827 and 46838?

Greatest common factor (GCF) of 46827 and 46838 is 11.

GCF(46827,46838) = 11

We will now calculate the prime factors of 46827 and 46838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46827 and 46838.

How to find the GCF of 46827 and 46838?

We will first find the prime factorization of 46827 and 46838. After we will calculate the factors of 46827 and 46838 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 46838

Prime factors of 46838 are 2, 11, 2129. Prime factorization of 46838 in exponential form is:

46838 = 2¹ × 11¹ × 2129¹

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 46838

List of positive integer factors of 46838 that divides 46827 without a remainder.

1, 2, 11, 22, 2129, 4258, 23419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46827 and 46838. The biggest common factor number is the GCF number.
So the greatest common factor 46827 and 46838 is 11.

Also check out the Least Common Multiple of 46827 and 46838