What is the Greatest Common Factor of 71040 and 71060?

Greatest common factor (GCF) of 71040 and 71060 is 20.

GCF(71040,71060) = 20

We will now calculate the prime factors of 71040 and 71060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71040 and 71060.

How to find the GCF of 71040 and 71060?

We will first find the prime factorization of 71040 and 71060. After we will calculate the factors of 71040 and 71060 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 71060

Prime factors of 71060 are 2, 5, 11, 17, 19. Prime factorization of 71060 in exponential form is:

71060 = 2² × 5¹ × 11¹ × 17¹ × 19¹

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 71060

List of positive integer factors of 71060 that divides 71040 without a remainder.

1, 2, 4, 5, 10, 11, 17, 19, 20, 22, 34, 38, 44, 55, 68, 76, 85, 95, 110, 170, 187, 190, 209, 220, 323, 340, 374, 380, 418, 646, 748, 836, 935, 1045, 1292, 1615, 1870, 2090, 3230, 3553, 3740, 4180, 6460, 7106, 14212, 17765, 35530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71040 and 71060. The biggest common factor number is the GCF number.
So the greatest common factor 71040 and 71060 is 20.

Also check out the Least Common Multiple of 71040 and 71060