What is the Greatest Common Factor of 19834 and 19854?

Greatest common factor (GCF) of 19834 and 19854 is 2.

GCF(19834,19854) = 2

We will now calculate the prime factors of 19834 and 19854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19834 and 19854.

How to find the GCF of 19834 and 19854?

We will first find the prime factorization of 19834 and 19854. After we will calculate the factors of 19834 and 19854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19854

Prime factors of 19854 are 2, 3, 1103. Prime factorization of 19854 in exponential form is:

19854 = 2¹ × 3² × 1103¹

Step-3: Factors of 19834

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

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

Step-4: Factors of 19854

List of positive integer factors of 19854 that divides 19834 without a remainder.

1, 2, 3, 6, 9, 18, 1103, 2206, 3309, 6618, 9927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19834 and 19854. The biggest common factor number is the GCF number.
So the greatest common factor 19834 and 19854 is 2.

Also check out the Least Common Multiple of 19834 and 19854