What is the Greatest Common Factor of 52785 and 52803?

Greatest common factor (GCF) of 52785 and 52803 is 9.

GCF(52785,52803) = 9

We will now calculate the prime factors of 52785 and 52803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52785 and 52803.

How to find the GCF of 52785 and 52803?

We will first find the prime factorization of 52785 and 52803. After we will calculate the factors of 52785 and 52803 and find the biggest common factor number .

Step-1: Prime Factorization of 52785

Prime factors of 52785 are 3, 5, 17, 23. Prime factorization of 52785 in exponential form is:

52785 = 3³ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 52803

Prime factors of 52803 are 3, 5867. Prime factorization of 52803 in exponential form is:

52803 = 3² × 5867¹

Step-3: Factors of 52785

List of positive integer factors of 52785 that divides 52785 without a remainder.

1, 3, 5, 9, 15, 17, 23, 27, 45, 51, 69, 85, 115, 135, 153, 207, 255, 345, 391, 459, 621, 765, 1035, 1173, 1955, 2295, 3105, 3519, 5865, 10557, 17595

Step-4: Factors of 52803

List of positive integer factors of 52803 that divides 52785 without a remainder.

1, 3, 9, 5867, 17601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52785 and 52803. The biggest common factor number is the GCF number.
So the greatest common factor 52785 and 52803 is 9.

Also check out the Least Common Multiple of 52785 and 52803