What is the Greatest Common Factor of 21354 and 21358?

Greatest common factor (GCF) of 21354 and 21358 is 2.

GCF(21354,21358) = 2

We will now calculate the prime factors of 21354 and 21358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21354 and 21358.

How to find the GCF of 21354 and 21358?

We will first find the prime factorization of 21354 and 21358. After we will calculate the factors of 21354 and 21358 and find the biggest common factor number .

Step-1: Prime Factorization of 21354

Prime factors of 21354 are 2, 3, 3559. Prime factorization of 21354 in exponential form is:

21354 = 2¹ × 3¹ × 3559¹

Step-2: Prime Factorization of 21358

Prime factors of 21358 are 2, 59, 181. Prime factorization of 21358 in exponential form is:

21358 = 2¹ × 59¹ × 181¹

Step-3: Factors of 21354

List of positive integer factors of 21354 that divides 21354 without a remainder.

1, 2, 3, 6, 3559, 7118, 10677

Step-4: Factors of 21358

List of positive integer factors of 21358 that divides 21354 without a remainder.

1, 2, 59, 118, 181, 362, 10679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21354 and 21358. The biggest common factor number is the GCF number.
So the greatest common factor 21354 and 21358 is 2.

Also check out the Least Common Multiple of 21354 and 21358