What is the Greatest Common Factor of 56904 and 56914?

Greatest common factor (GCF) of 56904 and 56914 is 2.

GCF(56904,56914) = 2

We will now calculate the prime factors of 56904 and 56914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56904 and 56914.

How to find the GCF of 56904 and 56914?

We will first find the prime factorization of 56904 and 56914. After we will calculate the factors of 56904 and 56914 and find the biggest common factor number .

Step-1: Prime Factorization of 56904

Prime factors of 56904 are 2, 3, 2371. Prime factorization of 56904 in exponential form is:

56904 = 2³ × 3¹ × 2371¹

Step-2: Prime Factorization of 56914

Prime factors of 56914 are 2, 11, 13, 199. Prime factorization of 56914 in exponential form is:

56914 = 2¹ × 11¹ × 13¹ × 199¹

Step-3: Factors of 56904

List of positive integer factors of 56904 that divides 56904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2371, 4742, 7113, 9484, 14226, 18968, 28452

Step-4: Factors of 56914

List of positive integer factors of 56914 that divides 56904 without a remainder.

1, 2, 11, 13, 22, 26, 143, 199, 286, 398, 2189, 2587, 4378, 5174, 28457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56904 and 56914. The biggest common factor number is the GCF number.
So the greatest common factor 56904 and 56914 is 2.

Also check out the Least Common Multiple of 56904 and 56914