What is the Greatest Common Factor of 19530 and 19543?

Greatest common factor (GCF) of 19530 and 19543 is 1.

GCF(19530,19543) = 1

We will now calculate the prime factors of 19530 and 19543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19530 and 19543.

How to find the GCF of 19530 and 19543?

We will first find the prime factorization of 19530 and 19543. After we will calculate the factors of 19530 and 19543 and find the biggest common factor number .

Step-1: Prime Factorization of 19530

Prime factors of 19530 are 2, 3, 5, 7, 31. Prime factorization of 19530 in exponential form is:

19530 = 2¹ × 3² × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 19543

Prime factors of 19543 are 19543. Prime factorization of 19543 in exponential form is:

19543 = 19543¹

Step-3: Factors of 19530

List of positive integer factors of 19530 that divides 19530 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 31, 35, 42, 45, 62, 63, 70, 90, 93, 105, 126, 155, 186, 210, 217, 279, 310, 315, 434, 465, 558, 630, 651, 930, 1085, 1302, 1395, 1953, 2170, 2790, 3255, 3906, 6510, 9765

Step-4: Factors of 19543

List of positive integer factors of 19543 that divides 19530 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19530 and 19543. The biggest common factor number is the GCF number.
So the greatest common factor 19530 and 19543 is 1.

Also check out the Least Common Multiple of 19530 and 19543