What is the Greatest Common Factor of 71760 and 71773?

Greatest common factor (GCF) of 71760 and 71773 is 13.

GCF(71760,71773) = 13

We will now calculate the prime factors of 71760 and 71773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71760 and 71773.

How to find the GCF of 71760 and 71773?

We will first find the prime factorization of 71760 and 71773. After we will calculate the factors of 71760 and 71773 and find the biggest common factor number .

Step-1: Prime Factorization of 71760

Prime factors of 71760 are 2, 3, 5, 13, 23. Prime factorization of 71760 in exponential form is:

71760 = 2⁴ × 3¹ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 71773

Prime factors of 71773 are 13, 5521. Prime factorization of 71773 in exponential form is:

71773 = 13¹ × 5521¹

Step-3: Factors of 71760

List of positive integer factors of 71760 that divides 71760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 23, 24, 26, 30, 39, 40, 46, 48, 52, 60, 65, 69, 78, 80, 92, 104, 115, 120, 130, 138, 156, 184, 195, 208, 230, 240, 260, 276, 299, 312, 345, 368, 390, 460, 520, 552, 598, 624, 690, 780, 897, 920, 1040, 1104, 1196, 1380, 1495, 1560, 1794, 1840, 2392, 2760, 2990, 3120, 3588, 4485, 4784, 5520, 5980, 7176, 8970, 11960, 14352, 17940, 23920, 35880

Step-4: Factors of 71773

List of positive integer factors of 71773 that divides 71760 without a remainder.

1, 13, 5521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71760 and 71773. The biggest common factor number is the GCF number.
So the greatest common factor 71760 and 71773 is 13.

Also check out the Least Common Multiple of 71760 and 71773