What is the Greatest Common Factor of 52773 and 52780?

Greatest common factor (GCF) of 52773 and 52780 is 7.

GCF(52773,52780) = 7

We will now calculate the prime factors of 52773 and 52780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52773 and 52780.

How to find the GCF of 52773 and 52780?

We will first find the prime factorization of 52773 and 52780. After we will calculate the factors of 52773 and 52780 and find the biggest common factor number .

Step-1: Prime Factorization of 52773

Prime factors of 52773 are 3, 7, 359. Prime factorization of 52773 in exponential form is:

52773 = 3¹ × 7² × 359¹

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 52773

List of positive integer factors of 52773 that divides 52773 without a remainder.

1, 3, 7, 21, 49, 147, 359, 1077, 2513, 7539, 17591

Step-4: Factors of 52780

List of positive integer factors of 52780 that divides 52773 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 52773 and 52780. The biggest common factor number is the GCF number.
So the greatest common factor 52773 and 52780 is 7.

Also check out the Least Common Multiple of 52773 and 52780