What is the Greatest Common Factor of 52761 and 52767?

Greatest common factor (GCF) of 52761 and 52767 is 3.

GCF(52761,52767) = 3

We will now calculate the prime factors of 52761 and 52767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52761 and 52767.

How to find the GCF of 52761 and 52767?

We will first find the prime factorization of 52761 and 52767. After we will calculate the factors of 52761 and 52767 and find the biggest common factor number .

Step-1: Prime Factorization of 52761

Prime factors of 52761 are 3, 43, 409. Prime factorization of 52761 in exponential form is:

52761 = 3¹ × 43¹ × 409¹

Step-2: Prime Factorization of 52767

Prime factors of 52767 are 3, 11, 13, 41. Prime factorization of 52767 in exponential form is:

52767 = 3² × 11¹ × 13¹ × 41¹

Step-3: Factors of 52761

List of positive integer factors of 52761 that divides 52761 without a remainder.

1, 3, 43, 129, 409, 1227, 17587

Step-4: Factors of 52767

List of positive integer factors of 52767 that divides 52761 without a remainder.

1, 3, 9, 11, 13, 33, 39, 41, 99, 117, 123, 143, 369, 429, 451, 533, 1287, 1353, 1599, 4059, 4797, 5863, 17589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52761 and 52767. The biggest common factor number is the GCF number.
So the greatest common factor 52761 and 52767 is 3.

Also check out the Least Common Multiple of 52761 and 52767