What is the Greatest Common Factor of 55420 and 55438?

Greatest common factor (GCF) of 55420 and 55438 is 2.

GCF(55420,55438) = 2

We will now calculate the prime factors of 55420 and 55438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55420 and 55438.

How to find the GCF of 55420 and 55438?

We will first find the prime factorization of 55420 and 55438. After we will calculate the factors of 55420 and 55438 and find the biggest common factor number .

Step-1: Prime Factorization of 55420

Prime factors of 55420 are 2, 5, 17, 163. Prime factorization of 55420 in exponential form is:

55420 = 2² × 5¹ × 17¹ × 163¹

Step-2: Prime Factorization of 55438

Prime factors of 55438 are 2, 53, 523. Prime factorization of 55438 in exponential form is:

55438 = 2¹ × 53¹ × 523¹

Step-3: Factors of 55420

List of positive integer factors of 55420 that divides 55420 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 163, 170, 326, 340, 652, 815, 1630, 2771, 3260, 5542, 11084, 13855, 27710

Step-4: Factors of 55438

List of positive integer factors of 55438 that divides 55420 without a remainder.

1, 2, 53, 106, 523, 1046, 27719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55420 and 55438. The biggest common factor number is the GCF number.
So the greatest common factor 55420 and 55438 is 2.

Also check out the Least Common Multiple of 55420 and 55438