What is the Greatest Common Factor of 7904 and 7914?

Greatest common factor (GCF) of 7904 and 7914 is 2.

GCF(7904,7914) = 2

We will now calculate the prime factors of 7904 and 7914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7904 and 7914.

How to find the GCF of 7904 and 7914?

We will first find the prime factorization of 7904 and 7914. After we will calculate the factors of 7904 and 7914 and find the biggest common factor number .

Step-1: Prime Factorization of 7904

Prime factors of 7904 are 2, 13, 19. Prime factorization of 7904 in exponential form is:

7904 = 2⁵ × 13¹ × 19¹

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 7904

List of positive integer factors of 7904 that divides 7904 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952

Step-4: Factors of 7914

List of positive integer factors of 7914 that divides 7904 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7904 and 7914. The biggest common factor number is the GCF number.
So the greatest common factor 7904 and 7914 is 2.

Also check out the Least Common Multiple of 7904 and 7914