What is the Greatest Common Factor of 19834 and 19852?

Greatest common factor (GCF) of 19834 and 19852 is 2.

GCF(19834,19852) = 2

We will now calculate the prime factors of 19834 and 19852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19834 and 19852.

How to find the GCF of 19834 and 19852?

We will first find the prime factorization of 19834 and 19852. After we will calculate the factors of 19834 and 19852 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 19852

Prime factors of 19852 are 2, 7, 709. Prime factorization of 19852 in exponential form is:

19852 = 2² × 7¹ × 709¹

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 19852

List of positive integer factors of 19852 that divides 19834 without a remainder.

1, 2, 4, 7, 14, 28, 709, 1418, 2836, 4963, 9926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19834 and 19852. The biggest common factor number is the GCF number.
So the greatest common factor 19834 and 19852 is 2.

Also check out the Least Common Multiple of 19834 and 19852