What is the Greatest Common Factor of 52797 and 52803?

Greatest common factor (GCF) of 52797 and 52803 is 3.

GCF(52797,52803) = 3

We will now calculate the prime factors of 52797 and 52803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52797 and 52803.

How to find the GCF of 52797 and 52803?

We will first find the prime factorization of 52797 and 52803. After we will calculate the factors of 52797 and 52803 and find the biggest common factor number .

Step-1: Prime Factorization of 52797

Prime factors of 52797 are 3, 17599. Prime factorization of 52797 in exponential form is:

52797 = 3¹ × 17599¹

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 52797

List of positive integer factors of 52797 that divides 52797 without a remainder.

1, 3, 17599

Step-4: Factors of 52803

List of positive integer factors of 52803 that divides 52797 without a remainder.

1, 3, 9, 5867, 17601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52797 and 52803. The biggest common factor number is the GCF number.
So the greatest common factor 52797 and 52803 is 3.

Also check out the Least Common Multiple of 52797 and 52803