What is the Greatest Common Factor of 71280 and 71288?

Greatest common factor (GCF) of 71280 and 71288 is 8.

GCF(71280,71288) = 8

We will now calculate the prime factors of 71280 and 71288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71280 and 71288.

How to find the GCF of 71280 and 71288?

We will first find the prime factorization of 71280 and 71288. After we will calculate the factors of 71280 and 71288 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 71288

Prime factors of 71288 are 2, 7, 19, 67. Prime factorization of 71288 in exponential form is:

71288 = 2³ × 7¹ × 19¹ × 67¹

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 71288

List of positive integer factors of 71288 that divides 71280 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 67, 76, 133, 134, 152, 266, 268, 469, 532, 536, 938, 1064, 1273, 1876, 2546, 3752, 5092, 8911, 10184, 17822, 35644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71280 and 71288. The biggest common factor number is the GCF number.
So the greatest common factor 71280 and 71288 is 8.

Also check out the Least Common Multiple of 71280 and 71288