What is the Greatest Common Factor of 52770 and 52780?

Greatest common factor (GCF) of 52770 and 52780 is 10.

GCF(52770,52780) = 10

We will now calculate the prime factors of 52770 and 52780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52770 and 52780.

How to find the GCF of 52770 and 52780?

We will first find the prime factorization of 52770 and 52780. After we will calculate the factors of 52770 and 52780 and find the biggest common factor number .

Step-1: Prime Factorization of 52770

Prime factors of 52770 are 2, 3, 5, 1759. Prime factorization of 52770 in exponential form is:

52770 = 2¹ × 3¹ × 5¹ × 1759¹

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 52770

List of positive integer factors of 52770 that divides 52770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1759, 3518, 5277, 8795, 10554, 17590, 26385

Step-4: Factors of 52780

List of positive integer factors of 52780 that divides 52770 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 52770 and 52780. The biggest common factor number is the GCF number.
So the greatest common factor 52770 and 52780 is 10.

Also check out the Least Common Multiple of 52770 and 52780