What is the Greatest Common Factor of 55024 and 55044?

Greatest common factor (GCF) of 55024 and 55044 is 4.

GCF(55024,55044) = 4

We will now calculate the prime factors of 55024 and 55044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55024 and 55044.

How to find the GCF of 55024 and 55044?

We will first find the prime factorization of 55024 and 55044. After we will calculate the factors of 55024 and 55044 and find the biggest common factor number .

Step-1: Prime Factorization of 55024

Prime factors of 55024 are 2, 19, 181. Prime factorization of 55024 in exponential form is:

55024 = 2⁴ × 19¹ × 181¹

Step-2: Prime Factorization of 55044

Prime factors of 55044 are 2, 3, 11, 139. Prime factorization of 55044 in exponential form is:

55044 = 2² × 3² × 11¹ × 139¹

Step-3: Factors of 55024

List of positive integer factors of 55024 that divides 55024 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 181, 304, 362, 724, 1448, 2896, 3439, 6878, 13756, 27512

Step-4: Factors of 55044

List of positive integer factors of 55044 that divides 55024 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 139, 198, 278, 396, 417, 556, 834, 1251, 1529, 1668, 2502, 3058, 4587, 5004, 6116, 9174, 13761, 18348, 27522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55024 and 55044. The biggest common factor number is the GCF number.
So the greatest common factor 55024 and 55044 is 4.

Also check out the Least Common Multiple of 55024 and 55044