What is the Greatest Common Factor of 17934 and 17941?

Greatest common factor (GCF) of 17934 and 17941 is 7.

GCF(17934,17941) = 7

We will now calculate the prime factors of 17934 and 17941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17934 and 17941.

How to find the GCF of 17934 and 17941?

We will first find the prime factorization of 17934 and 17941. After we will calculate the factors of 17934 and 17941 and find the biggest common factor number .

Step-1: Prime Factorization of 17934

Prime factors of 17934 are 2, 3, 7, 61. Prime factorization of 17934 in exponential form is:

17934 = 2¹ × 3¹ × 7² × 61¹

Step-2: Prime Factorization of 17941

Prime factors of 17941 are 7, 11, 233. Prime factorization of 17941 in exponential form is:

17941 = 7¹ × 11¹ × 233¹

Step-3: Factors of 17934

List of positive integer factors of 17934 that divides 17934 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 61, 98, 122, 147, 183, 294, 366, 427, 854, 1281, 2562, 2989, 5978, 8967

Step-4: Factors of 17941

List of positive integer factors of 17941 that divides 17934 without a remainder.

1, 7, 11, 77, 233, 1631, 2563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17934 and 17941. The biggest common factor number is the GCF number.
So the greatest common factor 17934 and 17941 is 7.

Also check out the Least Common Multiple of 17934 and 17941