What is the Greatest Common Factor of 55980 and 55995?

Greatest common factor (GCF) of 55980 and 55995 is 15.

GCF(55980,55995) = 15

We will now calculate the prime factors of 55980 and 55995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55980 and 55995.

How to find the GCF of 55980 and 55995?

We will first find the prime factorization of 55980 and 55995. After we will calculate the factors of 55980 and 55995 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 55995

Prime factors of 55995 are 3, 5, 3733. Prime factorization of 55995 in exponential form is:

55995 = 3¹ × 5¹ × 3733¹

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 55995

List of positive integer factors of 55995 that divides 55980 without a remainder.

1, 3, 5, 15, 3733, 11199, 18665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55980 and 55995. The biggest common factor number is the GCF number.
So the greatest common factor 55980 and 55995 is 15.

Also check out the Least Common Multiple of 55980 and 55995