What is the Greatest Common Factor of 13200 and 13211?

Greatest common factor (GCF) of 13200 and 13211 is 11.

GCF(13200,13211) = 11

We will now calculate the prime factors of 13200 and 13211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13200 and 13211.

How to find the GCF of 13200 and 13211?

We will first find the prime factorization of 13200 and 13211. After we will calculate the factors of 13200 and 13211 and find the biggest common factor number .

Step-1: Prime Factorization of 13200

Prime factors of 13200 are 2, 3, 5, 11. Prime factorization of 13200 in exponential form is:

13200 = 2⁴ × 3¹ × 5² × 11¹

Step-2: Prime Factorization of 13211

Prime factors of 13211 are 11, 1201. Prime factorization of 13211 in exponential form is:

13211 = 11¹ × 1201¹

Step-3: Factors of 13200

List of positive integer factors of 13200 that divides 13200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 25, 30, 33, 40, 44, 48, 50, 55, 60, 66, 75, 80, 88, 100, 110, 120, 132, 150, 165, 176, 200, 220, 240, 264, 275, 300, 330, 400, 440, 528, 550, 600, 660, 825, 880, 1100, 1200, 1320, 1650, 2200, 2640, 3300, 4400, 6600

Step-4: Factors of 13211

List of positive integer factors of 13211 that divides 13200 without a remainder.

1, 11, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13200 and 13211. The biggest common factor number is the GCF number.
So the greatest common factor 13200 and 13211 is 11.

Also check out the Least Common Multiple of 13200 and 13211