What is the Greatest Common Factor of 46809 and 46827?

Greatest common factor (GCF) of 46809 and 46827 is 9.

GCF(46809,46827) = 9

We will now calculate the prime factors of 46809 and 46827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46809 and 46827.

How to find the GCF of 46809 and 46827?

We will first find the prime factorization of 46809 and 46827. After we will calculate the factors of 46809 and 46827 and find the biggest common factor number .

Step-1: Prime Factorization of 46809

Prime factors of 46809 are 3, 7, 743. Prime factorization of 46809 in exponential form is:

46809 = 3² × 7¹ × 743¹

Step-2: 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-3: Factors of 46809

List of positive integer factors of 46809 that divides 46809 without a remainder.

1, 3, 7, 9, 21, 63, 743, 2229, 5201, 6687, 15603

Step-4: Factors of 46827

List of positive integer factors of 46827 that divides 46809 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46809 and 46827. The biggest common factor number is the GCF number.
So the greatest common factor 46809 and 46827 is 9.

Also check out the Least Common Multiple of 46809 and 46827