What is the Greatest Common Factor of 32760 and 32779?

Greatest common factor (GCF) of 32760 and 32779 is 1.

GCF(32760,32779) = 1

We will now calculate the prime factors of 32760 and 32779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32760 and 32779.

How to find the GCF of 32760 and 32779?

We will first find the prime factorization of 32760 and 32779. After we will calculate the factors of 32760 and 32779 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 32779

Prime factors of 32779 are 32779. Prime factorization of 32779 in exponential form is:

32779 = 32779¹

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 32779

List of positive integer factors of 32779 that divides 32760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32760 and 32779. The biggest common factor number is the GCF number.
So the greatest common factor 32760 and 32779 is 1.

Also check out the Least Common Multiple of 32760 and 32779