What is the Greatest Common Factor of 21320 and 21332?

Greatest common factor (GCF) of 21320 and 21332 is 4.

GCF(21320,21332) = 4

We will now calculate the prime factors of 21320 and 21332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21320 and 21332.

How to find the GCF of 21320 and 21332?

We will first find the prime factorization of 21320 and 21332. After we will calculate the factors of 21320 and 21332 and find the biggest common factor number .

Step-1: Prime Factorization of 21320

Prime factors of 21320 are 2, 5, 13, 41. Prime factorization of 21320 in exponential form is:

21320 = 2³ × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 21332

Prime factors of 21332 are 2, 5333. Prime factorization of 21332 in exponential form is:

21332 = 2² × 5333¹

Step-3: Factors of 21320

List of positive integer factors of 21320 that divides 21320 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 41, 52, 65, 82, 104, 130, 164, 205, 260, 328, 410, 520, 533, 820, 1066, 1640, 2132, 2665, 4264, 5330, 10660

Step-4: Factors of 21332

List of positive integer factors of 21332 that divides 21320 without a remainder.

1, 2, 4, 5333, 10666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21320 and 21332. The biggest common factor number is the GCF number.
So the greatest common factor 21320 and 21332 is 4.

Also check out the Least Common Multiple of 21320 and 21332