What is the Greatest Common Factor of 21224 and 21243?

Greatest common factor (GCF) of 21224 and 21243 is 1.

GCF(21224,21243) = 1

We will now calculate the prime factors of 21224 and 21243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21224 and 21243.

How to find the GCF of 21224 and 21243?

We will first find the prime factorization of 21224 and 21243. After we will calculate the factors of 21224 and 21243 and find the biggest common factor number .

Step-1: Prime Factorization of 21224

Prime factors of 21224 are 2, 7, 379. Prime factorization of 21224 in exponential form is:

21224 = 2³ × 7¹ × 379¹

Step-2: Prime Factorization of 21243

Prime factors of 21243 are 3, 73, 97. Prime factorization of 21243 in exponential form is:

21243 = 3¹ × 73¹ × 97¹

Step-3: Factors of 21224

List of positive integer factors of 21224 that divides 21224 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 379, 758, 1516, 2653, 3032, 5306, 10612

Step-4: Factors of 21243

List of positive integer factors of 21243 that divides 21224 without a remainder.

1, 3, 73, 97, 219, 291, 7081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21224 and 21243. The biggest common factor number is the GCF number.
So the greatest common factor 21224 and 21243 is 1.

Also check out the Least Common Multiple of 21224 and 21243