What is the Greatest Common Factor of 55600 and 55614?

Greatest common factor (GCF) of 55600 and 55614 is 2.

GCF(55600,55614) = 2

We will now calculate the prime factors of 55600 and 55614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55600 and 55614.

How to find the GCF of 55600 and 55614?

We will first find the prime factorization of 55600 and 55614. After we will calculate the factors of 55600 and 55614 and find the biggest common factor number .

Step-1: Prime Factorization of 55600

Prime factors of 55600 are 2, 5, 139. Prime factorization of 55600 in exponential form is:

55600 = 2⁴ × 5² × 139¹

Step-2: Prime Factorization of 55614

Prime factors of 55614 are 2, 3, 13, 23, 31. Prime factorization of 55614 in exponential form is:

55614 = 2¹ × 3¹ × 13¹ × 23¹ × 31¹

Step-3: Factors of 55600

List of positive integer factors of 55600 that divides 55600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 139, 200, 278, 400, 556, 695, 1112, 1390, 2224, 2780, 3475, 5560, 6950, 11120, 13900, 27800

Step-4: Factors of 55614

List of positive integer factors of 55614 that divides 55600 without a remainder.

1, 2, 3, 6, 13, 23, 26, 31, 39, 46, 62, 69, 78, 93, 138, 186, 299, 403, 598, 713, 806, 897, 1209, 1426, 1794, 2139, 2418, 4278, 9269, 18538, 27807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55600 and 55614. The biggest common factor number is the GCF number.
So the greatest common factor 55600 and 55614 is 2.

Also check out the Least Common Multiple of 55600 and 55614