What is the Greatest Common Factor of 19780 and 19790?

Greatest common factor (GCF) of 19780 and 19790 is 10.

GCF(19780,19790) = 10

We will now calculate the prime factors of 19780 and 19790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19780 and 19790.

How to find the GCF of 19780 and 19790?

We will first find the prime factorization of 19780 and 19790. After we will calculate the factors of 19780 and 19790 and find the biggest common factor number .

Step-1: Prime Factorization of 19780

Prime factors of 19780 are 2, 5, 23, 43. Prime factorization of 19780 in exponential form is:

19780 = 2² × 5¹ × 23¹ × 43¹

Step-2: 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-3: Factors of 19780

List of positive integer factors of 19780 that divides 19780 without a remainder.

1, 2, 4, 5, 10, 20, 23, 43, 46, 86, 92, 115, 172, 215, 230, 430, 460, 860, 989, 1978, 3956, 4945, 9890

Step-4: Factors of 19790

List of positive integer factors of 19790 that divides 19780 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19780 and 19790. The biggest common factor number is the GCF number.
So the greatest common factor 19780 and 19790 is 10.

Also check out the Least Common Multiple of 19780 and 19790