What is the Greatest Common Factor of 52764 and 52780?

Greatest common factor (GCF) of 52764 and 52780 is 4.

GCF(52764,52780) = 4

We will now calculate the prime factors of 52764 and 52780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52764 and 52780.

How to find the GCF of 52764 and 52780?

We will first find the prime factorization of 52764 and 52780. After we will calculate the factors of 52764 and 52780 and find the biggest common factor number .

Step-1: Prime Factorization of 52764

Prime factors of 52764 are 2, 3, 4397. Prime factorization of 52764 in exponential form is:

52764 = 2² × 3¹ × 4397¹

Step-2: 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-3: Factors of 52764

List of positive integer factors of 52764 that divides 52764 without a remainder.

1, 2, 3, 4, 6, 12, 4397, 8794, 13191, 17588, 26382

Step-4: Factors of 52780

List of positive integer factors of 52780 that divides 52764 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52764 and 52780. The biggest common factor number is the GCF number.
So the greatest common factor 52764 and 52780 is 4.

Also check out the Least Common Multiple of 52764 and 52780