What is the Greatest Common Factor of 78904 and 78914?

Greatest common factor (GCF) of 78904 and 78914 is 2.

GCF(78904,78914) = 2

We will now calculate the prime factors of 78904 and 78914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78904 and 78914.

How to find the GCF of 78904 and 78914?

We will first find the prime factorization of 78904 and 78914. After we will calculate the factors of 78904 and 78914 and find the biggest common factor number .

Step-1: Prime Factorization of 78904

Prime factors of 78904 are 2, 7, 1409. Prime factorization of 78904 in exponential form is:

78904 = 2³ × 7¹ × 1409¹

Step-2: Prime Factorization of 78914

Prime factors of 78914 are 2, 11, 17, 211. Prime factorization of 78914 in exponential form is:

78914 = 2¹ × 11¹ × 17¹ × 211¹

Step-3: Factors of 78904

List of positive integer factors of 78904 that divides 78904 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1409, 2818, 5636, 9863, 11272, 19726, 39452

Step-4: Factors of 78914

List of positive integer factors of 78914 that divides 78904 without a remainder.

1, 2, 11, 17, 22, 34, 187, 211, 374, 422, 2321, 3587, 4642, 7174, 39457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78904 and 78914. The biggest common factor number is the GCF number.
So the greatest common factor 78904 and 78914 is 2.

Also check out the Least Common Multiple of 78904 and 78914