What is the Greatest Common Factor of 18946 and 18954?

Greatest common factor (GCF) of 18946 and 18954 is 2.

GCF(18946,18954) = 2

We will now calculate the prime factors of 18946 and 18954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18946 and 18954.

How to find the GCF of 18946 and 18954?

We will first find the prime factorization of 18946 and 18954. After we will calculate the factors of 18946 and 18954 and find the biggest common factor number .

Step-1: Prime Factorization of 18946

Prime factors of 18946 are 2, 9473. Prime factorization of 18946 in exponential form is:

18946 = 2¹ × 9473¹

Step-2: Prime Factorization of 18954

Prime factors of 18954 are 2, 3, 13. Prime factorization of 18954 in exponential form is:

18954 = 2¹ × 3⁶ × 13¹

Step-3: Factors of 18946

List of positive integer factors of 18946 that divides 18946 without a remainder.

1, 2, 9473

Step-4: Factors of 18954

List of positive integer factors of 18954 that divides 18946 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 729, 1053, 1458, 2106, 3159, 6318, 9477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18946 and 18954. The biggest common factor number is the GCF number.
So the greatest common factor 18946 and 18954 is 2.

Also check out the Least Common Multiple of 18946 and 18954