What is the Greatest Common Factor of 21338 and 21357?

Greatest common factor (GCF) of 21338 and 21357 is 1.

GCF(21338,21357) = 1

We will now calculate the prime factors of 21338 and 21357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21338 and 21357.

How to find the GCF of 21338 and 21357?

We will first find the prime factorization of 21338 and 21357. After we will calculate the factors of 21338 and 21357 and find the biggest common factor number .

Step-1: Prime Factorization of 21338

Prime factors of 21338 are 2, 47, 227. Prime factorization of 21338 in exponential form is:

21338 = 2¹ × 47¹ × 227¹

Step-2: Prime Factorization of 21357

Prime factors of 21357 are 3, 7, 113. Prime factorization of 21357 in exponential form is:

21357 = 3³ × 7¹ × 113¹

Step-3: Factors of 21338

List of positive integer factors of 21338 that divides 21338 without a remainder.

1, 2, 47, 94, 227, 454, 10669

Step-4: Factors of 21357

List of positive integer factors of 21357 that divides 21338 without a remainder.

1, 3, 7, 9, 21, 27, 63, 113, 189, 339, 791, 1017, 2373, 3051, 7119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21338 and 21357. The biggest common factor number is the GCF number.
So the greatest common factor 21338 and 21357 is 1.

Also check out the Least Common Multiple of 21338 and 21357