What is the Greatest Common Factor of 21344 and 21350?

Greatest common factor (GCF) of 21344 and 21350 is 2.

GCF(21344,21350) = 2

We will now calculate the prime factors of 21344 and 21350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21344 and 21350.

How to find the GCF of 21344 and 21350?

We will first find the prime factorization of 21344 and 21350. After we will calculate the factors of 21344 and 21350 and find the biggest common factor number .

Step-1: Prime Factorization of 21344

Prime factors of 21344 are 2, 23, 29. Prime factorization of 21344 in exponential form is:

21344 = 2⁵ × 23¹ × 29¹

Step-2: Prime Factorization of 21350

Prime factors of 21350 are 2, 5, 7, 61. Prime factorization of 21350 in exponential form is:

21350 = 2¹ × 5² × 7¹ × 61¹

Step-3: Factors of 21344

List of positive integer factors of 21344 that divides 21344 without a remainder.

1, 2, 4, 8, 16, 23, 29, 32, 46, 58, 92, 116, 184, 232, 368, 464, 667, 736, 928, 1334, 2668, 5336, 10672

Step-4: Factors of 21350

List of positive integer factors of 21350 that divides 21344 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 61, 70, 122, 175, 305, 350, 427, 610, 854, 1525, 2135, 3050, 4270, 10675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21344 and 21350. The biggest common factor number is the GCF number.
So the greatest common factor 21344 and 21350 is 2.

Also check out the Least Common Multiple of 21344 and 21350