What is the Greatest Common Factor of 7914 and 7922?

Greatest common factor (GCF) of 7914 and 7922 is 2.

GCF(7914,7922) = 2

We will now calculate the prime factors of 7914 and 7922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7914 and 7922.

How to find the GCF of 7914 and 7922?

We will first find the prime factorization of 7914 and 7922. After we will calculate the factors of 7914 and 7922 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 7922

Prime factors of 7922 are 2, 17, 233. Prime factorization of 7922 in exponential form is:

7922 = 2¹ × 17¹ × 233¹

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 7922

List of positive integer factors of 7922 that divides 7914 without a remainder.

1, 2, 17, 34, 233, 466, 3961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7914 and 7922. The biggest common factor number is the GCF number.
So the greatest common factor 7914 and 7922 is 2.

Also check out the Least Common Multiple of 7914 and 7922