What is the Greatest Common Factor of 21654 and 21674?

Greatest common factor (GCF) of 21654 and 21674 is 2.

GCF(21654,21674) = 2

We will now calculate the prime factors of 21654 and 21674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21654 and 21674.

How to find the GCF of 21654 and 21674?

We will first find the prime factorization of 21654 and 21674. After we will calculate the factors of 21654 and 21674 and find the biggest common factor number .

Step-1: Prime Factorization of 21654

Prime factors of 21654 are 2, 3, 401. Prime factorization of 21654 in exponential form is:

21654 = 2¹ × 3³ × 401¹

Step-2: Prime Factorization of 21674

Prime factors of 21674 are 2, 10837. Prime factorization of 21674 in exponential form is:

21674 = 2¹ × 10837¹

Step-3: Factors of 21654

List of positive integer factors of 21654 that divides 21654 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 401, 802, 1203, 2406, 3609, 7218, 10827

Step-4: Factors of 21674

List of positive integer factors of 21674 that divides 21654 without a remainder.

1, 2, 10837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21654 and 21674. The biggest common factor number is the GCF number.
So the greatest common factor 21654 and 21674 is 2.

Also check out the Least Common Multiple of 21654 and 21674