What is the Greatest Common Factor of 71040 and 71054?

Greatest common factor (GCF) of 71040 and 71054 is 2.

GCF(71040,71054) = 2

We will now calculate the prime factors of 71040 and 71054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71040 and 71054.

How to find the GCF of 71040 and 71054?

We will first find the prime factorization of 71040 and 71054. After we will calculate the factors of 71040 and 71054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71054

Prime factors of 71054 are 2, 35527. Prime factorization of 71054 in exponential form is:

71054 = 2¹ × 35527¹

Step-3: Factors of 71040

List of positive integer factors of 71040 that divides 71040 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

Step-4: Factors of 71054

List of positive integer factors of 71054 that divides 71040 without a remainder.

1, 2, 35527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71040 and 71054. The biggest common factor number is the GCF number.
So the greatest common factor 71040 and 71054 is 2.

Also check out the Least Common Multiple of 71040 and 71054