What is the Greatest Common Factor of 55396 and 55414?

Greatest common factor (GCF) of 55396 and 55414 is 2.

GCF(55396,55414) = 2

We will now calculate the prime factors of 55396 and 55414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55396 and 55414.

How to find the GCF of 55396 and 55414?

We will first find the prime factorization of 55396 and 55414. After we will calculate the factors of 55396 and 55414 and find the biggest common factor number .

Step-1: Prime Factorization of 55396

Prime factors of 55396 are 2, 11, 1259. Prime factorization of 55396 in exponential form is:

55396 = 2² × 11¹ × 1259¹

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 55396

List of positive integer factors of 55396 that divides 55396 without a remainder.

1, 2, 4, 11, 22, 44, 1259, 2518, 5036, 13849, 27698

Step-4: Factors of 55414

List of positive integer factors of 55414 that divides 55396 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55396 and 55414. The biggest common factor number is the GCF number.
So the greatest common factor 55396 and 55414 is 2.

Also check out the Least Common Multiple of 55396 and 55414