What is the Greatest Common Factor of 21229 and 21246?

Greatest common factor (GCF) of 21229 and 21246 is 1.

GCF(21229,21246) = 1

We will now calculate the prime factors of 21229 and 21246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21229 and 21246.

How to find the GCF of 21229 and 21246?

We will first find the prime factorization of 21229 and 21246. After we will calculate the factors of 21229 and 21246 and find the biggest common factor number .

Step-1: Prime Factorization of 21229

Prime factors of 21229 are 13, 23, 71. Prime factorization of 21229 in exponential form is:

21229 = 13¹ × 23¹ × 71¹

Step-2: Prime Factorization of 21246

Prime factors of 21246 are 2, 3, 3541. Prime factorization of 21246 in exponential form is:

21246 = 2¹ × 3¹ × 3541¹

Step-3: Factors of 21229

List of positive integer factors of 21229 that divides 21229 without a remainder.

1, 13, 23, 71, 299, 923, 1633

Step-4: Factors of 21246

List of positive integer factors of 21246 that divides 21229 without a remainder.

1, 2, 3, 6, 3541, 7082, 10623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21229 and 21246. The biggest common factor number is the GCF number.
So the greatest common factor 21229 and 21246 is 1.

Also check out the Least Common Multiple of 21229 and 21246