What is the Greatest Common Factor of 55840 and 55845?

Greatest common factor (GCF) of 55840 and 55845 is 5.

GCF(55840,55845) = 5

We will now calculate the prime factors of 55840 and 55845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55840 and 55845.

How to find the GCF of 55840 and 55845?

We will first find the prime factorization of 55840 and 55845. After we will calculate the factors of 55840 and 55845 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 55845

Prime factors of 55845 are 3, 5, 17, 73. Prime factorization of 55845 in exponential form is:

55845 = 3² × 5¹ × 17¹ × 73¹

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 55845

List of positive integer factors of 55845 that divides 55840 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 73, 85, 153, 219, 255, 365, 657, 765, 1095, 1241, 3285, 3723, 6205, 11169, 18615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55840 and 55845. The biggest common factor number is the GCF number.
So the greatest common factor 55840 and 55845 is 5.

Also check out the Least Common Multiple of 55840 and 55845