What is the Greatest Common Factor of 21314 and 21330?

Greatest common factor (GCF) of 21314 and 21330 is 2.

GCF(21314,21330) = 2

We will now calculate the prime factors of 21314 and 21330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21314 and 21330.

How to find the GCF of 21314 and 21330?

We will first find the prime factorization of 21314 and 21330. After we will calculate the factors of 21314 and 21330 and find the biggest common factor number .

Step-1: Prime Factorization of 21314

Prime factors of 21314 are 2, 10657. Prime factorization of 21314 in exponential form is:

21314 = 2¹ × 10657¹

Step-2: Prime Factorization of 21330

Prime factors of 21330 are 2, 3, 5, 79. Prime factorization of 21330 in exponential form is:

21330 = 2¹ × 3³ × 5¹ × 79¹

Step-3: Factors of 21314

List of positive integer factors of 21314 that divides 21314 without a remainder.

1, 2, 10657

Step-4: Factors of 21330

List of positive integer factors of 21330 that divides 21314 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 79, 90, 135, 158, 237, 270, 395, 474, 711, 790, 1185, 1422, 2133, 2370, 3555, 4266, 7110, 10665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21314 and 21330. The biggest common factor number is the GCF number.
So the greatest common factor 21314 and 21330 is 2.

Also check out the Least Common Multiple of 21314 and 21330