What is the Greatest Common Factor of 71269 and 71280?

Greatest common factor (GCF) of 71269 and 71280 is 11.

GCF(71269,71280) = 11

We will now calculate the prime factors of 71269 and 71280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71269 and 71280.

How to find the GCF of 71269 and 71280?

We will first find the prime factorization of 71269 and 71280. After we will calculate the factors of 71269 and 71280 and find the biggest common factor number .

Step-1: Prime Factorization of 71269

Prime factors of 71269 are 11, 19, 31. Prime factorization of 71269 in exponential form is:

71269 = 11² × 19¹ × 31¹

Step-2: Prime Factorization of 71280

Prime factors of 71280 are 2, 3, 5, 11. Prime factorization of 71280 in exponential form is:

71280 = 2⁴ × 3⁴ × 5¹ × 11¹

Step-3: Factors of 71269

List of positive integer factors of 71269 that divides 71269 without a remainder.

1, 11, 19, 31, 121, 209, 341, 589, 2299, 3751, 6479

Step-4: Factors of 71280

List of positive integer factors of 71280 that divides 71269 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 27, 30, 33, 36, 40, 44, 45, 48, 54, 55, 60, 66, 72, 80, 81, 88, 90, 99, 108, 110, 120, 132, 135, 144, 162, 165, 176, 180, 198, 216, 220, 240, 264, 270, 297, 324, 330, 360, 396, 405, 432, 440, 495, 528, 540, 594, 648, 660, 720, 792, 810, 880, 891, 990, 1080, 1188, 1296, 1320, 1485, 1584, 1620, 1782, 1980, 2160, 2376, 2640, 2970, 3240, 3564, 3960, 4455, 4752, 5940, 6480, 7128, 7920, 8910, 11880, 14256, 17820, 23760, 35640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71269 and 71280. The biggest common factor number is the GCF number.
So the greatest common factor 71269 and 71280 is 11.

Also check out the Least Common Multiple of 71269 and 71280