What is the Greatest Common Factor of 19515 and 19530?

Greatest common factor (GCF) of 19515 and 19530 is 15.

GCF(19515,19530) = 15

We will now calculate the prime factors of 19515 and 19530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19515 and 19530.

How to find the GCF of 19515 and 19530?

We will first find the prime factorization of 19515 and 19530. After we will calculate the factors of 19515 and 19530 and find the biggest common factor number .

Step-1: Prime Factorization of 19515

Prime factors of 19515 are 3, 5, 1301. Prime factorization of 19515 in exponential form is:

19515 = 3¹ × 5¹ × 1301¹

Step-2: 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-3: Factors of 19515

List of positive integer factors of 19515 that divides 19515 without a remainder.

1, 3, 5, 15, 1301, 3903, 6505

Step-4: Factors of 19530

List of positive integer factors of 19530 that divides 19515 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19515 and 19530. The biggest common factor number is the GCF number.
So the greatest common factor 19515 and 19530 is 15.

Also check out the Least Common Multiple of 19515 and 19530