What is the Greatest Common Factor of 19790 and 19800?

Greatest common factor (GCF) of 19790 and 19800 is 10.

GCF(19790,19800) = 10

We will now calculate the prime factors of 19790 and 19800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19790 and 19800.

How to find the GCF of 19790 and 19800?

We will first find the prime factorization of 19790 and 19800. After we will calculate the factors of 19790 and 19800 and find the biggest common factor number .

Step-1: Prime Factorization of 19790

Prime factors of 19790 are 2, 5, 1979. Prime factorization of 19790 in exponential form is:

19790 = 2¹ × 5¹ × 1979¹

Step-2: Prime Factorization of 19800

Prime factors of 19800 are 2, 3, 5, 11. Prime factorization of 19800 in exponential form is:

19800 = 2³ × 3² × 5² × 11¹

Step-3: Factors of 19790

List of positive integer factors of 19790 that divides 19790 without a remainder.

1, 2, 5, 10, 1979, 3958, 9895

Step-4: Factors of 19800

List of positive integer factors of 19800 that divides 19790 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 25, 30, 33, 36, 40, 44, 45, 50, 55, 60, 66, 72, 75, 88, 90, 99, 100, 110, 120, 132, 150, 165, 180, 198, 200, 220, 225, 264, 275, 300, 330, 360, 396, 440, 450, 495, 550, 600, 660, 792, 825, 900, 990, 1100, 1320, 1650, 1800, 1980, 2200, 2475, 3300, 3960, 4950, 6600, 9900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19790 and 19800. The biggest common factor number is the GCF number.
So the greatest common factor 19790 and 19800 is 10.

Also check out the Least Common Multiple of 19790 and 19800