What is the Greatest Common Factor of 32760 and 32773?

Greatest common factor (GCF) of 32760 and 32773 is 13.

GCF(32760,32773) = 13

We will now calculate the prime factors of 32760 and 32773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32760 and 32773.

How to find the GCF of 32760 and 32773?

We will first find the prime factorization of 32760 and 32773. After we will calculate the factors of 32760 and 32773 and find the biggest common factor number .

Step-1: Prime Factorization of 32760

Prime factors of 32760 are 2, 3, 5, 7, 13. Prime factorization of 32760 in exponential form is:

32760 = 2³ × 3² × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 32773

Prime factors of 32773 are 13, 2521. Prime factorization of 32773 in exponential form is:

32773 = 13¹ × 2521¹

Step-3: Factors of 32760

List of positive integer factors of 32760 that divides 32760 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 24, 26, 28, 30, 35, 36, 39, 40, 42, 45, 52, 56, 60, 63, 65, 70, 72, 78, 84, 90, 91, 104, 105, 117, 120, 126, 130, 140, 156, 168, 180, 182, 195, 210, 234, 252, 260, 273, 280, 312, 315, 360, 364, 390, 420, 455, 468, 504, 520, 546, 585, 630, 728, 780, 819, 840, 910, 936, 1092, 1170, 1260, 1365, 1560, 1638, 1820, 2184, 2340, 2520, 2730, 3276, 3640, 4095, 4680, 5460, 6552, 8190, 10920, 16380

Step-4: Factors of 32773

List of positive integer factors of 32773 that divides 32760 without a remainder.

1, 13, 2521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32760 and 32773. The biggest common factor number is the GCF number.
So the greatest common factor 32760 and 32773 is 13.

Also check out the Least Common Multiple of 32760 and 32773