What is the Greatest Common Factor of 19814 and 19834?

Greatest common factor (GCF) of 19814 and 19834 is 2.

GCF(19814,19834) = 2

We will now calculate the prime factors of 19814 and 19834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19814 and 19834.

How to find the GCF of 19814 and 19834?

We will first find the prime factorization of 19814 and 19834. After we will calculate the factors of 19814 and 19834 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 19834

Prime factors of 19834 are 2, 47, 211. Prime factorization of 19834 in exponential form is:

19834 = 2¹ × 47¹ × 211¹

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 19834

List of positive integer factors of 19834 that divides 19814 without a remainder.

1, 2, 47, 94, 211, 422, 9917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19814 and 19834. The biggest common factor number is the GCF number.
So the greatest common factor 19814 and 19834 is 2.

Also check out the Least Common Multiple of 19814 and 19834