What is the Greatest Common Factor of 71024 and 71040?

Greatest common factor (GCF) of 71024 and 71040 is 16.

GCF(71024,71040) = 16

We will now calculate the prime factors of 71024 and 71040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71024 and 71040.

How to find the GCF of 71024 and 71040?

We will first find the prime factorization of 71024 and 71040. After we will calculate the factors of 71024 and 71040 and find the biggest common factor number .

Step-1: Prime Factorization of 71024

Prime factors of 71024 are 2, 23, 193. Prime factorization of 71024 in exponential form is:

71024 = 2⁴ × 23¹ × 193¹

Step-2: Prime Factorization of 71040

Prime factors of 71040 are 2, 3, 5, 37. Prime factorization of 71040 in exponential form is:

71040 = 2⁷ × 3¹ × 5¹ × 37¹

Step-3: Factors of 71024

List of positive integer factors of 71024 that divides 71024 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 193, 368, 386, 772, 1544, 3088, 4439, 8878, 17756, 35512

Step-4: Factors of 71040

List of positive integer factors of 71040 that divides 71024 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 37, 40, 48, 60, 64, 74, 80, 96, 111, 120, 128, 148, 160, 185, 192, 222, 240, 296, 320, 370, 384, 444, 480, 555, 592, 640, 740, 888, 960, 1110, 1184, 1480, 1776, 1920, 2220, 2368, 2960, 3552, 4440, 4736, 5920, 7104, 8880, 11840, 14208, 17760, 23680, 35520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71024 and 71040. The biggest common factor number is the GCF number.
So the greatest common factor 71024 and 71040 is 16.

Also check out the Least Common Multiple of 71024 and 71040