What is the Greatest Common Factor of 19954 and 19964?

Greatest common factor (GCF) of 19954 and 19964 is 2.

GCF(19954,19964) = 2

We will now calculate the prime factors of 19954 and 19964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19954 and 19964.

How to find the GCF of 19954 and 19964?

We will first find the prime factorization of 19954 and 19964. After we will calculate the factors of 19954 and 19964 and find the biggest common factor number .

Step-1: Prime Factorization of 19954

Prime factors of 19954 are 2, 11, 907. Prime factorization of 19954 in exponential form is:

19954 = 2¹ × 11¹ × 907¹

Step-2: Prime Factorization of 19964

Prime factors of 19964 are 2, 7, 23, 31. Prime factorization of 19964 in exponential form is:

19964 = 2² × 7¹ × 23¹ × 31¹

Step-3: Factors of 19954

List of positive integer factors of 19954 that divides 19954 without a remainder.

1, 2, 11, 22, 907, 1814, 9977

Step-4: Factors of 19964

List of positive integer factors of 19964 that divides 19954 without a remainder.

1, 2, 4, 7, 14, 23, 28, 31, 46, 62, 92, 124, 161, 217, 322, 434, 644, 713, 868, 1426, 2852, 4991, 9982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19954 and 19964. The biggest common factor number is the GCF number.
So the greatest common factor 19954 and 19964 is 2.

Also check out the Least Common Multiple of 19954 and 19964