What is the Greatest Common Factor of 18939 and 18954?

Greatest common factor (GCF) of 18939 and 18954 is 3.

GCF(18939,18954) = 3

We will now calculate the prime factors of 18939 and 18954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18939 and 18954.

How to find the GCF of 18939 and 18954?

We will first find the prime factorization of 18939 and 18954. After we will calculate the factors of 18939 and 18954 and find the biggest common factor number .

Step-1: Prime Factorization of 18939

Prime factors of 18939 are 3, 59, 107. Prime factorization of 18939 in exponential form is:

18939 = 3¹ × 59¹ × 107¹

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 18939

List of positive integer factors of 18939 that divides 18939 without a remainder.

1, 3, 59, 107, 177, 321, 6313

Step-4: Factors of 18954

List of positive integer factors of 18954 that divides 18939 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 18939 and 18954. The biggest common factor number is the GCF number.
So the greatest common factor 18939 and 18954 is 3.

Also check out the Least Common Multiple of 18939 and 18954