What is the Greatest Common Factor of 7923 and 7938?

Greatest common factor (GCF) of 7923 and 7938 is 3.

GCF(7923,7938) = 3

We will now calculate the prime factors of 7923 and 7938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7923 and 7938.

How to find the GCF of 7923 and 7938?

We will first find the prime factorization of 7923 and 7938. After we will calculate the factors of 7923 and 7938 and find the biggest common factor number .

Step-1: Prime Factorization of 7923

Prime factors of 7923 are 3, 19, 139. Prime factorization of 7923 in exponential form is:

7923 = 3¹ × 19¹ × 139¹

Step-2: Prime Factorization of 7938

Prime factors of 7938 are 2, 3, 7. Prime factorization of 7938 in exponential form is:

7938 = 2¹ × 3⁴ × 7²

Step-3: Factors of 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1, 3, 19, 57, 139, 417, 2641

Step-4: Factors of 7938

List of positive integer factors of 7938 that divides 7923 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7923 and 7938. The biggest common factor number is the GCF number.
So the greatest common factor 7923 and 7938 is 3.

Also check out the Least Common Multiple of 7923 and 7938