What is the Greatest Common Factor of 55600 and 55608?

Greatest common factor (GCF) of 55600 and 55608 is 8.

GCF(55600,55608) = 8

We will now calculate the prime factors of 55600 and 55608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55600 and 55608.

How to find the GCF of 55600 and 55608?

We will first find the prime factorization of 55600 and 55608. After we will calculate the factors of 55600 and 55608 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 55608

Prime factors of 55608 are 2, 3, 7, 331. Prime factorization of 55608 in exponential form is:

55608 = 2³ × 3¹ × 7¹ × 331¹

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 55608

List of positive integer factors of 55608 that divides 55600 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 331, 662, 993, 1324, 1986, 2317, 2648, 3972, 4634, 6951, 7944, 9268, 13902, 18536, 27804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55600 and 55608. The biggest common factor number is the GCF number.
So the greatest common factor 55600 and 55608 is 8.

Also check out the Least Common Multiple of 55600 and 55608