What is the Greatest Common Factor of 21408 and 21419?

Greatest common factor (GCF) of 21408 and 21419 is 1.

GCF(21408,21419) = 1

We will now calculate the prime factors of 21408 and 21419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21408 and 21419.

How to find the GCF of 21408 and 21419?

We will first find the prime factorization of 21408 and 21419. After we will calculate the factors of 21408 and 21419 and find the biggest common factor number .

Step-1: Prime Factorization of 21408

Prime factors of 21408 are 2, 3, 223. Prime factorization of 21408 in exponential form is:

21408 = 2⁵ × 3¹ × 223¹

Step-2: Prime Factorization of 21419

Prime factors of 21419 are 21419. Prime factorization of 21419 in exponential form is:

21419 = 21419¹

Step-3: Factors of 21408

List of positive integer factors of 21408 that divides 21408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 223, 446, 669, 892, 1338, 1784, 2676, 3568, 5352, 7136, 10704

Step-4: Factors of 21419

List of positive integer factors of 21419 that divides 21408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21408 and 21419. The biggest common factor number is the GCF number.
So the greatest common factor 21408 and 21419 is 1.

Also check out the Least Common Multiple of 21408 and 21419