What is the Greatest Common Factor of 21289 and 21308?

Greatest common factor (GCF) of 21289 and 21308 is 1.

GCF(21289,21308) = 1

We will now calculate the prime factors of 21289 and 21308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21289 and 21308.

How to find the GCF of 21289 and 21308?

We will first find the prime factorization of 21289 and 21308. After we will calculate the factors of 21289 and 21308 and find the biggest common factor number .

Step-1: Prime Factorization of 21289

Prime factors of 21289 are 61, 349. Prime factorization of 21289 in exponential form is:

21289 = 61¹ × 349¹

Step-2: Prime Factorization of 21308

Prime factors of 21308 are 2, 7, 761. Prime factorization of 21308 in exponential form is:

21308 = 2² × 7¹ × 761¹

Step-3: Factors of 21289

List of positive integer factors of 21289 that divides 21289 without a remainder.

1, 61, 349

Step-4: Factors of 21308

List of positive integer factors of 21308 that divides 21289 without a remainder.

1, 2, 4, 7, 14, 28, 761, 1522, 3044, 5327, 10654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21289 and 21308. The biggest common factor number is the GCF number.
So the greatest common factor 21289 and 21308 is 1.

Also check out the Least Common Multiple of 21289 and 21308