What is the Greatest Common Factor of 71273 and 71280?

Greatest common factor (GCF) of 71273 and 71280 is 1.

GCF(71273,71280) = 1

We will now calculate the prime factors of 71273 and 71280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71273 and 71280.

How to find the GCF of 71273 and 71280?

We will first find the prime factorization of 71273 and 71280. After we will calculate the factors of 71273 and 71280 and find the biggest common factor number .

Step-1: Prime Factorization of 71273

Prime factors of 71273 are 263, 271. Prime factorization of 71273 in exponential form is:

71273 = 263¹ × 271¹

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 71273

List of positive integer factors of 71273 that divides 71273 without a remainder.

1, 263, 271

Step-4: Factors of 71280

List of positive integer factors of 71280 that divides 71273 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 71273 and 71280. The biggest common factor number is the GCF number.
So the greatest common factor 71273 and 71280 is 1.

Also check out the Least Common Multiple of 71273 and 71280