What is the Greatest Common Factor of 52755 and 52770?

Greatest common factor (GCF) of 52755 and 52770 is 15.

GCF(52755,52770) = 15

We will now calculate the prime factors of 52755 and 52770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52755 and 52770.

How to find the GCF of 52755 and 52770?

We will first find the prime factorization of 52755 and 52770. After we will calculate the factors of 52755 and 52770 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52770

Prime factors of 52770 are 2, 3, 5, 1759. Prime factorization of 52770 in exponential form is:

52770 = 2¹ × 3¹ × 5¹ × 1759¹

Step-3: Factors of 52755

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

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

Step-4: Factors of 52770

List of positive integer factors of 52770 that divides 52755 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1759, 3518, 5277, 8795, 10554, 17590, 26385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52755 and 52770. The biggest common factor number is the GCF number.
So the greatest common factor 52755 and 52770 is 15.

Also check out the Least Common Multiple of 52755 and 52770