What is the Greatest Common Factor of 19814 and 19820?

Greatest common factor (GCF) of 19814 and 19820 is 2.

GCF(19814,19820) = 2

We will now calculate the prime factors of 19814 and 19820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19814 and 19820.

How to find the GCF of 19814 and 19820?

We will first find the prime factorization of 19814 and 19820. After we will calculate the factors of 19814 and 19820 and find the biggest common factor number .

Step-1: Prime Factorization of 19814

Prime factors of 19814 are 2, 9907. Prime factorization of 19814 in exponential form is:

19814 = 2¹ × 9907¹

Step-2: Prime Factorization of 19820

Prime factors of 19820 are 2, 5, 991. Prime factorization of 19820 in exponential form is:

19820 = 2² × 5¹ × 991¹

Step-3: Factors of 19814

List of positive integer factors of 19814 that divides 19814 without a remainder.

1, 2, 9907

Step-4: Factors of 19820

List of positive integer factors of 19820 that divides 19814 without a remainder.

1, 2, 4, 5, 10, 20, 991, 1982, 3964, 4955, 9910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19814 and 19820. The biggest common factor number is the GCF number.
So the greatest common factor 19814 and 19820 is 2.

Also check out the Least Common Multiple of 19814 and 19820