What is the Greatest Common Factor of 18942 and 18949?

Greatest common factor (GCF) of 18942 and 18949 is 7.

GCF(18942,18949) = 7

We will now calculate the prime factors of 18942 and 18949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18942 and 18949.

How to find the GCF of 18942 and 18949?

We will first find the prime factorization of 18942 and 18949. After we will calculate the factors of 18942 and 18949 and find the biggest common factor number .

Step-1: Prime Factorization of 18942

Prime factors of 18942 are 2, 3, 7, 11, 41. Prime factorization of 18942 in exponential form is:

18942 = 2¹ × 3¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 18949

Prime factors of 18949 are 7, 2707. Prime factorization of 18949 in exponential form is:

18949 = 7¹ × 2707¹

Step-3: Factors of 18942

List of positive integer factors of 18942 that divides 18942 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 41, 42, 66, 77, 82, 123, 154, 231, 246, 287, 451, 462, 574, 861, 902, 1353, 1722, 2706, 3157, 6314, 9471

Step-4: Factors of 18949

List of positive integer factors of 18949 that divides 18942 without a remainder.

1, 7, 2707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18942 and 18949. The biggest common factor number is the GCF number.
So the greatest common factor 18942 and 18949 is 7.

Also check out the Least Common Multiple of 18942 and 18949