What is the Greatest Common Factor of 21229 and 21247?

Greatest common factor (GCF) of 21229 and 21247 is 1.

GCF(21229,21247) = 1

We will now calculate the prime factors of 21229 and 21247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21229 and 21247.

How to find the GCF of 21229 and 21247?

We will first find the prime factorization of 21229 and 21247. After we will calculate the factors of 21229 and 21247 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 21247

Prime factors of 21247 are 21247. Prime factorization of 21247 in exponential form is:

21247 = 21247¹

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 21247

List of positive integer factors of 21247 that divides 21229 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21229 and 21247. The biggest common factor number is the GCF number.
So the greatest common factor 21229 and 21247 is 1.

Also check out the Least Common Multiple of 21229 and 21247