What is the Greatest Common Factor of 19578 and 19590?

Greatest common factor (GCF) of 19578 and 19590 is 6.

GCF(19578,19590) = 6

We will now calculate the prime factors of 19578 and 19590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19578 and 19590.

How to find the GCF of 19578 and 19590?

We will first find the prime factorization of 19578 and 19590. After we will calculate the factors of 19578 and 19590 and find the biggest common factor number .

Step-1: Prime Factorization of 19578

Prime factors of 19578 are 2, 3, 13, 251. Prime factorization of 19578 in exponential form is:

19578 = 2¹ × 3¹ × 13¹ × 251¹

Step-2: Prime Factorization of 19590

Prime factors of 19590 are 2, 3, 5, 653. Prime factorization of 19590 in exponential form is:

19590 = 2¹ × 3¹ × 5¹ × 653¹

Step-3: Factors of 19578

List of positive integer factors of 19578 that divides 19578 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 251, 502, 753, 1506, 3263, 6526, 9789

Step-4: Factors of 19590

List of positive integer factors of 19590 that divides 19578 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 653, 1306, 1959, 3265, 3918, 6530, 9795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19578 and 19590. The biggest common factor number is the GCF number.
So the greatest common factor 19578 and 19590 is 6.

Also check out the Least Common Multiple of 19578 and 19590