What is the Greatest Common Factor of 55600 and 55616?

Greatest common factor (GCF) of 55600 and 55616 is 16.

GCF(55600,55616) = 16

We will now calculate the prime factors of 55600 and 55616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55600 and 55616.

How to find the GCF of 55600 and 55616?

We will first find the prime factorization of 55600 and 55616. After we will calculate the factors of 55600 and 55616 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 55616

Prime factors of 55616 are 2, 11, 79. Prime factorization of 55616 in exponential form is:

55616 = 2⁶ × 11¹ × 79¹

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 55616

List of positive integer factors of 55616 that divides 55600 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 79, 88, 158, 176, 316, 352, 632, 704, 869, 1264, 1738, 2528, 3476, 5056, 6952, 13904, 27808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55600 and 55616. The biggest common factor number is the GCF number.
So the greatest common factor 55600 and 55616 is 16.

Also check out the Least Common Multiple of 55600 and 55616