What is the Greatest Common Factor of 55840 and 55856?

Greatest common factor (GCF) of 55840 and 55856 is 16.

GCF(55840,55856) = 16

We will now calculate the prime factors of 55840 and 55856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55840 and 55856.

How to find the GCF of 55840 and 55856?

We will first find the prime factorization of 55840 and 55856. After we will calculate the factors of 55840 and 55856 and find the biggest common factor number .

Step-1: Prime Factorization of 55840

Prime factors of 55840 are 2, 5, 349. Prime factorization of 55840 in exponential form is:

55840 = 2⁵ × 5¹ × 349¹

Step-2: Prime Factorization of 55856

Prime factors of 55856 are 2, 3491. Prime factorization of 55856 in exponential form is:

55856 = 2⁴ × 3491¹

Step-3: Factors of 55840

List of positive integer factors of 55840 that divides 55840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 349, 698, 1396, 1745, 2792, 3490, 5584, 6980, 11168, 13960, 27920

Step-4: Factors of 55856

List of positive integer factors of 55856 that divides 55840 without a remainder.

1, 2, 4, 8, 16, 3491, 6982, 13964, 27928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55840 and 55856. The biggest common factor number is the GCF number.
So the greatest common factor 55840 and 55856 is 16.

Also check out the Least Common Multiple of 55840 and 55856