What is the Greatest Common Factor of 7914 and 7923?

Greatest common factor (GCF) of 7914 and 7923 is 3.

GCF(7914,7923) = 3

We will now calculate the prime factors of 7914 and 7923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7914 and 7923.

How to find the GCF of 7914 and 7923?

We will first find the prime factorization of 7914 and 7923. After we will calculate the factors of 7914 and 7923 and find the biggest common factor number .

Step-1: Prime Factorization of 7914

Prime factors of 7914 are 2, 3, 1319. Prime factorization of 7914 in exponential form is:

7914 = 2¹ × 3¹ × 1319¹

Step-2: 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-3: Factors of 7914

List of positive integer factors of 7914 that divides 7914 without a remainder.

1, 2, 3, 6, 1319, 2638, 3957

Step-4: Factors of 7923

List of positive integer factors of 7923 that divides 7914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7914 and 7923. The biggest common factor number is the GCF number.
So the greatest common factor 7914 and 7923 is 3.

Also check out the Least Common Multiple of 7914 and 7923