What is the Greatest Common Factor of 71280 and 71298?

Greatest common factor (GCF) of 71280 and 71298 is 18.

GCF(71280,71298) = 18

We will now calculate the prime factors of 71280 and 71298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71280 and 71298.

How to find the GCF of 71280 and 71298?

We will first find the prime factorization of 71280 and 71298. After we will calculate the factors of 71280 and 71298 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71298

Prime factors of 71298 are 2, 3, 17, 233. Prime factorization of 71298 in exponential form is:

71298 = 2¹ × 3² × 17¹ × 233¹

Step-3: Factors of 71280

List of positive integer factors of 71280 that divides 71280 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

Step-4: Factors of 71298

List of positive integer factors of 71298 that divides 71280 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 233, 306, 466, 699, 1398, 2097, 3961, 4194, 7922, 11883, 23766, 35649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71280 and 71298. The biggest common factor number is the GCF number.
So the greatest common factor 71280 and 71298 is 18.

Also check out the Least Common Multiple of 71280 and 71298