What is the Greatest Common Factor of 21331 and 21351?

Greatest common factor (GCF) of 21331 and 21351 is 1.

GCF(21331,21351) = 1

We will now calculate the prime factors of 21331 and 21351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21331 and 21351.

How to find the GCF of 21331 and 21351?

We will first find the prime factorization of 21331 and 21351. After we will calculate the factors of 21331 and 21351 and find the biggest common factor number .

Step-1: Prime Factorization of 21331

Prime factors of 21331 are 83, 257. Prime factorization of 21331 in exponential form is:

21331 = 83¹ × 257¹

Step-2: Prime Factorization of 21351

Prime factors of 21351 are 3, 11, 647. Prime factorization of 21351 in exponential form is:

21351 = 3¹ × 11¹ × 647¹

Step-3: Factors of 21331

List of positive integer factors of 21331 that divides 21331 without a remainder.

1, 83, 257

Step-4: Factors of 21351

List of positive integer factors of 21351 that divides 21331 without a remainder.

1, 3, 11, 33, 647, 1941, 7117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21331 and 21351. The biggest common factor number is the GCF number.
So the greatest common factor 21331 and 21351 is 1.

Also check out the Least Common Multiple of 21331 and 21351