What is the Greatest Common Factor of 55872 and 55890?

Greatest common factor (GCF) of 55872 and 55890 is 18.

GCF(55872,55890) = 18

We will now calculate the prime factors of 55872 and 55890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55872 and 55890.

How to find the GCF of 55872 and 55890?

We will first find the prime factorization of 55872 and 55890. After we will calculate the factors of 55872 and 55890 and find the biggest common factor number .

Step-1: Prime Factorization of 55872

Prime factors of 55872 are 2, 3, 97. Prime factorization of 55872 in exponential form is:

55872 = 2⁶ × 3² × 97¹

Step-2: Prime Factorization of 55890

Prime factors of 55890 are 2, 3, 5, 23. Prime factorization of 55890 in exponential form is:

55890 = 2¹ × 3⁵ × 5¹ × 23¹

Step-3: Factors of 55872

List of positive integer factors of 55872 that divides 55872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 97, 144, 192, 194, 288, 291, 388, 576, 582, 776, 873, 1164, 1552, 1746, 2328, 3104, 3492, 4656, 6208, 6984, 9312, 13968, 18624, 27936

Step-4: Factors of 55890

List of positive integer factors of 55890 that divides 55872 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 81, 90, 115, 135, 138, 162, 207, 230, 243, 270, 345, 405, 414, 486, 621, 690, 810, 1035, 1215, 1242, 1863, 2070, 2430, 3105, 3726, 5589, 6210, 9315, 11178, 18630, 27945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55872 and 55890. The biggest common factor number is the GCF number.
So the greatest common factor 55872 and 55890 is 18.

Also check out the Least Common Multiple of 55872 and 55890