What is the Greatest Common Factor of 19842 and 19850?

Greatest common factor (GCF) of 19842 and 19850 is 2.

GCF(19842,19850) = 2

We will now calculate the prime factors of 19842 and 19850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19842 and 19850.

How to find the GCF of 19842 and 19850?

We will first find the prime factorization of 19842 and 19850. After we will calculate the factors of 19842 and 19850 and find the biggest common factor number .

Step-1: Prime Factorization of 19842

Prime factors of 19842 are 2, 3, 3307. Prime factorization of 19842 in exponential form is:

19842 = 2¹ × 3¹ × 3307¹

Step-2: Prime Factorization of 19850

Prime factors of 19850 are 2, 5, 397. Prime factorization of 19850 in exponential form is:

19850 = 2¹ × 5² × 397¹

Step-3: Factors of 19842

List of positive integer factors of 19842 that divides 19842 without a remainder.

1, 2, 3, 6, 3307, 6614, 9921

Step-4: Factors of 19850

List of positive integer factors of 19850 that divides 19842 without a remainder.

1, 2, 5, 10, 25, 50, 397, 794, 1985, 3970, 9925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19842 and 19850. The biggest common factor number is the GCF number.
So the greatest common factor 19842 and 19850 is 2.

Also check out the Least Common Multiple of 19842 and 19850