What is the Greatest Common Factor of 52752 and 52761?

Greatest common factor (GCF) of 52752 and 52761 is 3.

GCF(52752,52761) = 3

We will now calculate the prime factors of 52752 and 52761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52752 and 52761.

How to find the GCF of 52752 and 52761?

We will first find the prime factorization of 52752 and 52761. After we will calculate the factors of 52752 and 52761 and find the biggest common factor number .

Step-1: Prime Factorization of 52752

Prime factors of 52752 are 2, 3, 7, 157. Prime factorization of 52752 in exponential form is:

52752 = 2⁴ × 3¹ × 7¹ × 157¹

Step-2: 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-3: Factors of 52752

List of positive integer factors of 52752 that divides 52752 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 157, 168, 314, 336, 471, 628, 942, 1099, 1256, 1884, 2198, 2512, 3297, 3768, 4396, 6594, 7536, 8792, 13188, 17584, 26376

Step-4: Factors of 52761

List of positive integer factors of 52761 that divides 52752 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52752 and 52761. The biggest common factor number is the GCF number.
So the greatest common factor 52752 and 52761 is 3.

Also check out the Least Common Multiple of 52752 and 52761