What is the Greatest Common Factor of 21210 and 21224?

Greatest common factor (GCF) of 21210 and 21224 is 14.

GCF(21210,21224) = 14

We will now calculate the prime factors of 21210 and 21224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21210 and 21224.

How to find the GCF of 21210 and 21224?

We will first find the prime factorization of 21210 and 21224. After we will calculate the factors of 21210 and 21224 and find the biggest common factor number .

Step-1: Prime Factorization of 21210

Prime factors of 21210 are 2, 3, 5, 7, 101. Prime factorization of 21210 in exponential form is:

21210 = 2¹ × 3¹ × 5¹ × 7¹ × 101¹

Step-2: 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-3: Factors of 21210

List of positive integer factors of 21210 that divides 21210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 101, 105, 202, 210, 303, 505, 606, 707, 1010, 1414, 1515, 2121, 3030, 3535, 4242, 7070, 10605

Step-4: Factors of 21224

List of positive integer factors of 21224 that divides 21210 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21210 and 21224. The biggest common factor number is the GCF number.
So the greatest common factor 21210 and 21224 is 14.

Also check out the Least Common Multiple of 21210 and 21224