What is the Greatest Common Factor of 52788 and 52797?

Greatest common factor (GCF) of 52788 and 52797 is 3.

GCF(52788,52797) = 3

We will now calculate the prime factors of 52788 and 52797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52788 and 52797.

How to find the GCF of 52788 and 52797?

We will first find the prime factorization of 52788 and 52797. After we will calculate the factors of 52788 and 52797 and find the biggest common factor number .

Step-1: Prime Factorization of 52788

Prime factors of 52788 are 2, 3, 53, 83. Prime factorization of 52788 in exponential form is:

52788 = 2² × 3¹ × 53¹ × 83¹

Step-2: Prime Factorization of 52797

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

52797 = 3¹ × 17599¹

Step-3: Factors of 52788

List of positive integer factors of 52788 that divides 52788 without a remainder.

1, 2, 3, 4, 6, 12, 53, 83, 106, 159, 166, 212, 249, 318, 332, 498, 636, 996, 4399, 8798, 13197, 17596, 26394

Step-4: Factors of 52797

List of positive integer factors of 52797 that divides 52788 without a remainder.

1, 3, 17599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52788 and 52797. The biggest common factor number is the GCF number.
So the greatest common factor 52788 and 52797 is 3.

Also check out the Least Common Multiple of 52788 and 52797