What is the Greatest Common Factor of 21289 and 21294?

Greatest common factor (GCF) of 21289 and 21294 is 1.

GCF(21289,21294) = 1

We will now calculate the prime factors of 21289 and 21294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21289 and 21294.

How to find the GCF of 21289 and 21294?

We will first find the prime factorization of 21289 and 21294. After we will calculate the factors of 21289 and 21294 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 21294

Prime factors of 21294 are 2, 3, 7, 13. Prime factorization of 21294 in exponential form is:

21294 = 2¹ × 3² × 7¹ × 13²

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 21294

List of positive integer factors of 21294 that divides 21289 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 169, 182, 234, 273, 338, 507, 546, 819, 1014, 1183, 1521, 1638, 2366, 3042, 3549, 7098, 10647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21289 and 21294. The biggest common factor number is the GCF number.
So the greatest common factor 21289 and 21294 is 1.

Also check out the Least Common Multiple of 21289 and 21294