What is the Greatest Common Factor of 55982 and 55998?

Greatest common factor (GCF) of 55982 and 55998 is 2.

GCF(55982,55998) = 2

We will now calculate the prime factors of 55982 and 55998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55982 and 55998.

How to find the GCF of 55982 and 55998?

We will first find the prime factorization of 55982 and 55998. After we will calculate the factors of 55982 and 55998 and find the biggest common factor number .

Step-1: Prime Factorization of 55982

Prime factors of 55982 are 2, 23, 1217. Prime factorization of 55982 in exponential form is:

55982 = 2¹ × 23¹ × 1217¹

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 55982

List of positive integer factors of 55982 that divides 55982 without a remainder.

1, 2, 23, 46, 1217, 2434, 27991

Step-4: Factors of 55998

List of positive integer factors of 55998 that divides 55982 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 55982 and 55998. The biggest common factor number is the GCF number.
So the greatest common factor 55982 and 55998 is 2.

Also check out the Least Common Multiple of 55982 and 55998