What is the Greatest Common Factor of 52780 and 52785?

Greatest common factor (GCF) of 52780 and 52785 is 5.

GCF(52780,52785) = 5

We will now calculate the prime factors of 52780 and 52785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52780 and 52785.

How to find the GCF of 52780 and 52785?

We will first find the prime factorization of 52780 and 52785. After we will calculate the factors of 52780 and 52785 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 52785

Prime factors of 52785 are 3, 5, 17, 23. Prime factorization of 52785 in exponential form is:

52785 = 3³ × 5¹ × 17¹ × 23¹

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 52785

List of positive integer factors of 52785 that divides 52780 without a remainder.

1, 3, 5, 9, 15, 17, 23, 27, 45, 51, 69, 85, 115, 135, 153, 207, 255, 345, 391, 459, 621, 765, 1035, 1173, 1955, 2295, 3105, 3519, 5865, 10557, 17595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52780 and 52785. The biggest common factor number is the GCF number.
So the greatest common factor 52780 and 52785 is 5.

Also check out the Least Common Multiple of 52780 and 52785