What is the Greatest Common Factor of 55400 and 55414?

Greatest common factor (GCF) of 55400 and 55414 is 2.

GCF(55400,55414) = 2

We will now calculate the prime factors of 55400 and 55414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55400 and 55414.

How to find the GCF of 55400 and 55414?

We will first find the prime factorization of 55400 and 55414. After we will calculate the factors of 55400 and 55414 and find the biggest common factor number .

Step-1: Prime Factorization of 55400

Prime factors of 55400 are 2, 5, 277. Prime factorization of 55400 in exponential form is:

55400 = 2³ × 5² × 277¹

Step-2: Prime Factorization of 55414

Prime factors of 55414 are 2, 103, 269. Prime factorization of 55414 in exponential form is:

55414 = 2¹ × 103¹ × 269¹

Step-3: Factors of 55400

List of positive integer factors of 55400 that divides 55400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 277, 554, 1108, 1385, 2216, 2770, 5540, 6925, 11080, 13850, 27700

Step-4: Factors of 55414

List of positive integer factors of 55414 that divides 55400 without a remainder.

1, 2, 103, 206, 269, 538, 27707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55400 and 55414. The biggest common factor number is the GCF number.
So the greatest common factor 55400 and 55414 is 2.

Also check out the Least Common Multiple of 55400 and 55414