What is the Greatest Common Factor of 52768 and 52788?

Greatest common factor (GCF) of 52768 and 52788 is 4.

GCF(52768,52788) = 4

We will now calculate the prime factors of 52768 and 52788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52768 and 52788.

How to find the GCF of 52768 and 52788?

We will first find the prime factorization of 52768 and 52788. After we will calculate the factors of 52768 and 52788 and find the biggest common factor number .

Step-1: Prime Factorization of 52768

Prime factors of 52768 are 2, 17, 97. Prime factorization of 52768 in exponential form is:

52768 = 2⁵ × 17¹ × 97¹

Step-2: 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-3: Factors of 52768

List of positive integer factors of 52768 that divides 52768 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 97, 136, 194, 272, 388, 544, 776, 1552, 1649, 3104, 3298, 6596, 13192, 26384

Step-4: Factors of 52788

List of positive integer factors of 52788 that divides 52768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52768 and 52788. The biggest common factor number is the GCF number.
So the greatest common factor 52768 and 52788 is 4.

Also check out the Least Common Multiple of 52768 and 52788