What is the Greatest Common Factor of 55432 and 55442?

Greatest common factor (GCF) of 55432 and 55442 is 2.

GCF(55432,55442) = 2

We will now calculate the prime factors of 55432 and 55442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55432 and 55442.

How to find the GCF of 55432 and 55442?

We will first find the prime factorization of 55432 and 55442. After we will calculate the factors of 55432 and 55442 and find the biggest common factor number .

Step-1: Prime Factorization of 55432

Prime factors of 55432 are 2, 13, 41. Prime factorization of 55432 in exponential form is:

55432 = 2³ × 13² × 41¹

Step-2: Prime Factorization of 55442

Prime factors of 55442 are 2, 19, 1459. Prime factorization of 55442 in exponential form is:

55442 = 2¹ × 19¹ × 1459¹

Step-3: Factors of 55432

List of positive integer factors of 55432 that divides 55432 without a remainder.

1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 169, 328, 338, 533, 676, 1066, 1352, 2132, 4264, 6929, 13858, 27716

Step-4: Factors of 55442

List of positive integer factors of 55442 that divides 55432 without a remainder.

1, 2, 19, 38, 1459, 2918, 27721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55432 and 55442. The biggest common factor number is the GCF number.
So the greatest common factor 55432 and 55442 is 2.

Also check out the Least Common Multiple of 55432 and 55442