What is the Greatest Common Factor of 52784 and 52796?

Greatest common factor (GCF) of 52784 and 52796 is 4.

GCF(52784,52796) = 4

We will now calculate the prime factors of 52784 and 52796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52784 and 52796.

How to find the GCF of 52784 and 52796?

We will first find the prime factorization of 52784 and 52796. After we will calculate the factors of 52784 and 52796 and find the biggest common factor number .

Step-1: Prime Factorization of 52784

Prime factors of 52784 are 2, 3299. Prime factorization of 52784 in exponential form is:

52784 = 2⁴ × 3299¹

Step-2: Prime Factorization of 52796

Prime factors of 52796 are 2, 67, 197. Prime factorization of 52796 in exponential form is:

52796 = 2² × 67¹ × 197¹

Step-3: Factors of 52784

List of positive integer factors of 52784 that divides 52784 without a remainder.

1, 2, 4, 8, 16, 3299, 6598, 13196, 26392

Step-4: Factors of 52796

List of positive integer factors of 52796 that divides 52784 without a remainder.

1, 2, 4, 67, 134, 197, 268, 394, 788, 13199, 26398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52784 and 52796. The biggest common factor number is the GCF number.
So the greatest common factor 52784 and 52796 is 4.

Also check out the Least Common Multiple of 52784 and 52796