What is the Greatest Common Factor of 55980 and 55993?

Greatest common factor (GCF) of 55980 and 55993 is 1.

GCF(55980,55993) = 1

We will now calculate the prime factors of 55980 and 55993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55980 and 55993.

How to find the GCF of 55980 and 55993?

We will first find the prime factorization of 55980 and 55993. After we will calculate the factors of 55980 and 55993 and find the biggest common factor number .

Step-1: Prime Factorization of 55980

Prime factors of 55980 are 2, 3, 5, 311. Prime factorization of 55980 in exponential form is:

55980 = 2² × 3² × 5¹ × 311¹

Step-2: Prime Factorization of 55993

Prime factors of 55993 are 7, 19, 421. Prime factorization of 55993 in exponential form is:

55993 = 7¹ × 19¹ × 421¹

Step-3: Factors of 55980

List of positive integer factors of 55980 that divides 55980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 311, 622, 933, 1244, 1555, 1866, 2799, 3110, 3732, 4665, 5598, 6220, 9330, 11196, 13995, 18660, 27990

Step-4: Factors of 55993

List of positive integer factors of 55993 that divides 55980 without a remainder.

1, 7, 19, 133, 421, 2947, 7999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55980 and 55993. The biggest common factor number is the GCF number.
So the greatest common factor 55980 and 55993 is 1.

Also check out the Least Common Multiple of 55980 and 55993