What is the Greatest Common Factor of 71266 and 71280?

Greatest common factor (GCF) of 71266 and 71280 is 2.

GCF(71266,71280) = 2

We will now calculate the prime factors of 71266 and 71280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71266 and 71280.

How to find the GCF of 71266 and 71280?

We will first find the prime factorization of 71266 and 71280. After we will calculate the factors of 71266 and 71280 and find the biggest common factor number .

Step-1: Prime Factorization of 71266

Prime factors of 71266 are 2, 13, 2741. Prime factorization of 71266 in exponential form is:

71266 = 2¹ × 13¹ × 2741¹

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 71266

List of positive integer factors of 71266 that divides 71266 without a remainder.

1, 2, 13, 26, 2741, 5482, 35633

Step-4: Factors of 71280

List of positive integer factors of 71280 that divides 71266 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 71266 and 71280. The biggest common factor number is the GCF number.
So the greatest common factor 71266 and 71280 is 2.

Also check out the Least Common Multiple of 71266 and 71280