What is the Greatest Common Factor of 55338 and 55357?

Greatest common factor (GCF) of 55338 and 55357 is 1.

GCF(55338,55357) = 1

We will now calculate the prime factors of 55338 and 55357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55338 and 55357.

How to find the GCF of 55338 and 55357?

We will first find the prime factorization of 55338 and 55357. After we will calculate the factors of 55338 and 55357 and find the biggest common factor number .

Step-1: Prime Factorization of 55338

Prime factors of 55338 are 2, 3, 23, 401. Prime factorization of 55338 in exponential form is:

55338 = 2¹ × 3¹ × 23¹ × 401¹

Step-2: Prime Factorization of 55357

Prime factors of 55357 are 197, 281. Prime factorization of 55357 in exponential form is:

55357 = 197¹ × 281¹

Step-3: Factors of 55338

List of positive integer factors of 55338 that divides 55338 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 401, 802, 1203, 2406, 9223, 18446, 27669

Step-4: Factors of 55357

List of positive integer factors of 55357 that divides 55338 without a remainder.

1, 197, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55338 and 55357. The biggest common factor number is the GCF number.
So the greatest common factor 55338 and 55357 is 1.

Also check out the Least Common Multiple of 55338 and 55357