What is the Greatest Common Factor of 21093 and 21102?

Greatest common factor (GCF) of 21093 and 21102 is 3.

GCF(21093,21102) = 3

We will now calculate the prime factors of 21093 and 21102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21093 and 21102.

How to find the GCF of 21093 and 21102?

We will first find the prime factorization of 21093 and 21102. After we will calculate the factors of 21093 and 21102 and find the biggest common factor number .

Step-1: Prime Factorization of 21093

Prime factors of 21093 are 3, 79, 89. Prime factorization of 21093 in exponential form is:

21093 = 3¹ × 79¹ × 89¹

Step-2: Prime Factorization of 21102

Prime factors of 21102 are 2, 3, 3517. Prime factorization of 21102 in exponential form is:

21102 = 2¹ × 3¹ × 3517¹

Step-3: Factors of 21093

List of positive integer factors of 21093 that divides 21093 without a remainder.

1, 3, 79, 89, 237, 267, 7031

Step-4: Factors of 21102

List of positive integer factors of 21102 that divides 21093 without a remainder.

1, 2, 3, 6, 3517, 7034, 10551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21093 and 21102. The biggest common factor number is the GCF number.
So the greatest common factor 21093 and 21102 is 3.

Also check out the Least Common Multiple of 21093 and 21102