What is the Greatest Common Factor of 19894 and 19902?

Greatest common factor (GCF) of 19894 and 19902 is 2.

GCF(19894,19902) = 2

We will now calculate the prime factors of 19894 and 19902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19894 and 19902.

How to find the GCF of 19894 and 19902?

We will first find the prime factorization of 19894 and 19902. After we will calculate the factors of 19894 and 19902 and find the biggest common factor number .

Step-1: Prime Factorization of 19894

Prime factors of 19894 are 2, 7, 29. Prime factorization of 19894 in exponential form is:

19894 = 2¹ × 7³ × 29¹

Step-2: Prime Factorization of 19902

Prime factors of 19902 are 2, 3, 31, 107. Prime factorization of 19902 in exponential form is:

19902 = 2¹ × 3¹ × 31¹ × 107¹

Step-3: Factors of 19894

List of positive integer factors of 19894 that divides 19894 without a remainder.

1, 2, 7, 14, 29, 49, 58, 98, 203, 343, 406, 686, 1421, 2842, 9947

Step-4: Factors of 19902

List of positive integer factors of 19902 that divides 19894 without a remainder.

1, 2, 3, 6, 31, 62, 93, 107, 186, 214, 321, 642, 3317, 6634, 9951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19894 and 19902. The biggest common factor number is the GCF number.
So the greatest common factor 19894 and 19902 is 2.

Also check out the Least Common Multiple of 19894 and 19902