What is the Greatest Common Factor of 87904 and 87914?

Greatest common factor (GCF) of 87904 and 87914 is 2.

GCF(87904,87914) = 2

We will now calculate the prime factors of 87904 and 87914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87904 and 87914.

How to find the GCF of 87904 and 87914?

We will first find the prime factorization of 87904 and 87914. After we will calculate the factors of 87904 and 87914 and find the biggest common factor number .

Step-1: Prime Factorization of 87904

Prime factors of 87904 are 2, 41, 67. Prime factorization of 87904 in exponential form is:

87904 = 2⁵ × 41¹ × 67¹

Step-2: Prime Factorization of 87914

Prime factors of 87914 are 2, 113, 389. Prime factorization of 87914 in exponential form is:

87914 = 2¹ × 113¹ × 389¹

Step-3: Factors of 87904

List of positive integer factors of 87904 that divides 87904 without a remainder.

1, 2, 4, 8, 16, 32, 41, 67, 82, 134, 164, 268, 328, 536, 656, 1072, 1312, 2144, 2747, 5494, 10988, 21976, 43952

Step-4: Factors of 87914

List of positive integer factors of 87914 that divides 87904 without a remainder.

1, 2, 113, 226, 389, 778, 43957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87904 and 87914. The biggest common factor number is the GCF number.
So the greatest common factor 87904 and 87914 is 2.

Also check out the Least Common Multiple of 87904 and 87914