What is the Greatest Common Factor of 21114 and 21121?

Greatest common factor (GCF) of 21114 and 21121 is 1.

GCF(21114,21121) = 1

We will now calculate the prime factors of 21114 and 21121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21114 and 21121.

How to find the GCF of 21114 and 21121?

We will first find the prime factorization of 21114 and 21121. After we will calculate the factors of 21114 and 21121 and find the biggest common factor number .

Step-1: Prime Factorization of 21114

Prime factors of 21114 are 2, 3, 17, 23. Prime factorization of 21114 in exponential form is:

21114 = 2¹ × 3³ × 17¹ × 23¹

Step-2: Prime Factorization of 21121

Prime factors of 21121 are 21121. Prime factorization of 21121 in exponential form is:

21121 = 21121¹

Step-3: Factors of 21114

List of positive integer factors of 21114 that divides 21114 without a remainder.

1, 2, 3, 6, 9, 17, 18, 23, 27, 34, 46, 51, 54, 69, 102, 138, 153, 207, 306, 391, 414, 459, 621, 782, 918, 1173, 1242, 2346, 3519, 7038, 10557

Step-4: Factors of 21121

List of positive integer factors of 21121 that divides 21114 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21114 and 21121. The biggest common factor number is the GCF number.
So the greatest common factor 21114 and 21121 is 1.

Also check out the Least Common Multiple of 21114 and 21121