What is the Greatest Common Factor of 52749 and 52755?

Greatest common factor (GCF) of 52749 and 52755 is 3.

GCF(52749,52755) = 3

We will now calculate the prime factors of 52749 and 52755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52749 and 52755.

How to find the GCF of 52749 and 52755?

We will first find the prime factorization of 52749 and 52755. After we will calculate the factors of 52749 and 52755 and find the biggest common factor number .

Step-1: Prime Factorization of 52749

Prime factors of 52749 are 3, 5861. Prime factorization of 52749 in exponential form is:

52749 = 3² × 5861¹

Step-2: Prime Factorization of 52755

Prime factors of 52755 are 3, 5, 3517. Prime factorization of 52755 in exponential form is:

52755 = 3¹ × 5¹ × 3517¹

Step-3: Factors of 52749

List of positive integer factors of 52749 that divides 52749 without a remainder.

1, 3, 9, 5861, 17583

Step-4: Factors of 52755

List of positive integer factors of 52755 that divides 52749 without a remainder.

1, 3, 5, 15, 3517, 10551, 17585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52749 and 52755. The biggest common factor number is the GCF number.
So the greatest common factor 52749 and 52755 is 3.

Also check out the Least Common Multiple of 52749 and 52755