What is the Greatest Common Factor of 19530 and 19550?

Greatest common factor (GCF) of 19530 and 19550 is 10.

GCF(19530,19550) = 10

We will now calculate the prime factors of 19530 and 19550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19530 and 19550.

How to find the GCF of 19530 and 19550?

We will first find the prime factorization of 19530 and 19550. After we will calculate the factors of 19530 and 19550 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 19550

Prime factors of 19550 are 2, 5, 17, 23. Prime factorization of 19550 in exponential form is:

19550 = 2¹ × 5² × 17¹ × 23¹

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 19550

List of positive integer factors of 19550 that divides 19530 without a remainder.

1, 2, 5, 10, 17, 23, 25, 34, 46, 50, 85, 115, 170, 230, 391, 425, 575, 782, 850, 1150, 1955, 3910, 9775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19530 and 19550. The biggest common factor number is the GCF number.
So the greatest common factor 19530 and 19550 is 10.

Also check out the Least Common Multiple of 19530 and 19550