What is the Greatest Common Factor of 52788 and 52793?

Greatest common factor (GCF) of 52788 and 52793 is 1.

GCF(52788,52793) = 1

We will now calculate the prime factors of 52788 and 52793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52788 and 52793.

How to find the GCF of 52788 and 52793?

We will first find the prime factorization of 52788 and 52793. After we will calculate the factors of 52788 and 52793 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 52793

Prime factors of 52793 are 13, 31, 131. Prime factorization of 52793 in exponential form is:

52793 = 13¹ × 31¹ × 131¹

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 52793

List of positive integer factors of 52793 that divides 52788 without a remainder.

1, 13, 31, 131, 403, 1703, 4061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52788 and 52793. The biggest common factor number is the GCF number.
So the greatest common factor 52788 and 52793 is 1.

Also check out the Least Common Multiple of 52788 and 52793