What is the Greatest Common Factor of 71040 and 71046?

Greatest common factor (GCF) of 71040 and 71046 is 6.

GCF(71040,71046) = 6

We will now calculate the prime factors of 71040 and 71046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71040 and 71046.

How to find the GCF of 71040 and 71046?

We will first find the prime factorization of 71040 and 71046. After we will calculate the factors of 71040 and 71046 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 71046

Prime factors of 71046 are 2, 3, 3947. Prime factorization of 71046 in exponential form is:

71046 = 2¹ × 3² × 3947¹

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 71046

List of positive integer factors of 71046 that divides 71040 without a remainder.

1, 2, 3, 6, 9, 18, 3947, 7894, 11841, 23682, 35523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71040 and 71046. The biggest common factor number is the GCF number.
So the greatest common factor 71040 and 71046 is 6.

Also check out the Least Common Multiple of 71040 and 71046