What is the Greatest Common Factor of 71040 and 71052?

Greatest common factor (GCF) of 71040 and 71052 is 12.

GCF(71040,71052) = 12

We will now calculate the prime factors of 71040 and 71052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71040 and 71052.

How to find the GCF of 71040 and 71052?

We will first find the prime factorization of 71040 and 71052. After we will calculate the factors of 71040 and 71052 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 71052

Prime factors of 71052 are 2, 3, 31, 191. Prime factorization of 71052 in exponential form is:

71052 = 2² × 3¹ × 31¹ × 191¹

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 71052

List of positive integer factors of 71052 that divides 71040 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 191, 372, 382, 573, 764, 1146, 2292, 5921, 11842, 17763, 23684, 35526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71040 and 71052. The biggest common factor number is the GCF number.
So the greatest common factor 71040 and 71052 is 12.

Also check out the Least Common Multiple of 71040 and 71052