What is the Greatest Common Factor of 55426 and 55432?

Greatest common factor (GCF) of 55426 and 55432 is 2.

GCF(55426,55432) = 2

We will now calculate the prime factors of 55426 and 55432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55426 and 55432.

How to find the GCF of 55426 and 55432?

We will first find the prime factorization of 55426 and 55432. After we will calculate the factors of 55426 and 55432 and find the biggest common factor number .

Step-1: Prime Factorization of 55426

Prime factors of 55426 are 2, 7, 37, 107. Prime factorization of 55426 in exponential form is:

55426 = 2¹ × 7¹ × 37¹ × 107¹

Step-2: 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-3: Factors of 55426

List of positive integer factors of 55426 that divides 55426 without a remainder.

1, 2, 7, 14, 37, 74, 107, 214, 259, 518, 749, 1498, 3959, 7918, 27713

Step-4: Factors of 55432

List of positive integer factors of 55432 that divides 55426 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55426 and 55432. The biggest common factor number is the GCF number.
So the greatest common factor 55426 and 55432 is 2.

Also check out the Least Common Multiple of 55426 and 55432