What is the Greatest Common Factor of 21314 and 21333?

Greatest common factor (GCF) of 21314 and 21333 is 1.

GCF(21314,21333) = 1

We will now calculate the prime factors of 21314 and 21333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21314 and 21333.

How to find the GCF of 21314 and 21333?

We will first find the prime factorization of 21314 and 21333. After we will calculate the factors of 21314 and 21333 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 21333

Prime factors of 21333 are 3, 13, 547. Prime factorization of 21333 in exponential form is:

21333 = 3¹ × 13¹ × 547¹

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 21333

List of positive integer factors of 21333 that divides 21314 without a remainder.

1, 3, 13, 39, 547, 1641, 7111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21314 and 21333. The biggest common factor number is the GCF number.
So the greatest common factor 21314 and 21333 is 1.

Also check out the Least Common Multiple of 21314 and 21333