What is the Greatest Common Factor of 7909 and 7914?

Greatest common factor (GCF) of 7909 and 7914 is 1.

GCF(7909,7914) = 1

We will now calculate the prime factors of 7909 and 7914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7909 and 7914.

How to find the GCF of 7909 and 7914?

We will first find the prime factorization of 7909 and 7914. After we will calculate the factors of 7909 and 7914 and find the biggest common factor number .

Step-1: Prime Factorization of 7909

Prime factors of 7909 are 11, 719. Prime factorization of 7909 in exponential form is:

7909 = 11¹ × 719¹

Step-2: 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-3: Factors of 7909

List of positive integer factors of 7909 that divides 7909 without a remainder.

1, 11, 719

Step-4: Factors of 7914

List of positive integer factors of 7914 that divides 7909 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7909 and 7914. The biggest common factor number is the GCF number.
So the greatest common factor 7909 and 7914 is 1.

Also check out the Least Common Multiple of 7909 and 7914