What is the Greatest Common Factor of 13190 and 13200?

Greatest common factor (GCF) of 13190 and 13200 is 10.

GCF(13190,13200) = 10

We will now calculate the prime factors of 13190 and 13200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13190 and 13200.

How to find the GCF of 13190 and 13200?

We will first find the prime factorization of 13190 and 13200. After we will calculate the factors of 13190 and 13200 and find the biggest common factor number .

Step-1: Prime Factorization of 13190

Prime factors of 13190 are 2, 5, 1319. Prime factorization of 13190 in exponential form is:

13190 = 2¹ × 5¹ × 1319¹

Step-2: 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-3: Factors of 13190

List of positive integer factors of 13190 that divides 13190 without a remainder.

1, 2, 5, 10, 1319, 2638, 6595

Step-4: Factors of 13200

List of positive integer factors of 13200 that divides 13190 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13190 and 13200. The biggest common factor number is the GCF number.
So the greatest common factor 13190 and 13200 is 10.

Also check out the Least Common Multiple of 13190 and 13200