What is the Greatest Common Factor of 52780 and 52784?

Greatest common factor (GCF) of 52780 and 52784 is 4.

GCF(52780,52784) = 4

We will now calculate the prime factors of 52780 and 52784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52780 and 52784.

How to find the GCF of 52780 and 52784?

We will first find the prime factorization of 52780 and 52784. After we will calculate the factors of 52780 and 52784 and find the biggest common factor number .

Step-1: Prime Factorization of 52780

Prime factors of 52780 are 2, 5, 7, 13, 29. Prime factorization of 52780 in exponential form is:

52780 = 2² × 5¹ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 52784

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

52784 = 2⁴ × 3299¹

Step-3: Factors of 52780

List of positive integer factors of 52780 that divides 52780 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 29, 35, 52, 58, 65, 70, 91, 116, 130, 140, 145, 182, 203, 260, 290, 364, 377, 406, 455, 580, 754, 812, 910, 1015, 1508, 1820, 1885, 2030, 2639, 3770, 4060, 5278, 7540, 10556, 13195, 26390

Step-4: Factors of 52784

List of positive integer factors of 52784 that divides 52780 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52780 and 52784. The biggest common factor number is the GCF number.
So the greatest common factor 52780 and 52784 is 4.

Also check out the Least Common Multiple of 52780 and 52784