What is the Greatest Common Factor of 55980 and 55998?

Greatest common factor (GCF) of 55980 and 55998 is 18.

GCF(55980,55998) = 18

We will now calculate the prime factors of 55980 and 55998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55980 and 55998.

How to find the GCF of 55980 and 55998?

We will first find the prime factorization of 55980 and 55998. After we will calculate the factors of 55980 and 55998 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 55998

Prime factors of 55998 are 2, 3, 17, 61. Prime factorization of 55998 in exponential form is:

55998 = 2¹ × 3³ × 17¹ × 61¹

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 55998

List of positive integer factors of 55998 that divides 55980 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 61, 102, 122, 153, 183, 306, 366, 459, 549, 918, 1037, 1098, 1647, 2074, 3111, 3294, 6222, 9333, 18666, 27999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55980 and 55998. The biggest common factor number is the GCF number.
So the greatest common factor 55980 and 55998 is 18.

Also check out the Least Common Multiple of 55980 and 55998