What is the Greatest Common Factor of 55024 and 55040?

Greatest common factor (GCF) of 55024 and 55040 is 16.

GCF(55024,55040) = 16

We will now calculate the prime factors of 55024 and 55040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55024 and 55040.

How to find the GCF of 55024 and 55040?

We will first find the prime factorization of 55024 and 55040. After we will calculate the factors of 55024 and 55040 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 55040

Prime factors of 55040 are 2, 5, 43. Prime factorization of 55040 in exponential form is:

55040 = 2⁸ × 5¹ × 43¹

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 55040

List of positive integer factors of 55040 that divides 55024 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 128, 160, 172, 215, 256, 320, 344, 430, 640, 688, 860, 1280, 1376, 1720, 2752, 3440, 5504, 6880, 11008, 13760, 27520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55024 and 55040. The biggest common factor number is the GCF number.
So the greatest common factor 55024 and 55040 is 16.

Also check out the Least Common Multiple of 55024 and 55040