What is the Greatest Common Factor of 32749 and 32760?

Greatest common factor (GCF) of 32749 and 32760 is 1.

GCF(32749,32760) = 1

We will now calculate the prime factors of 32749 and 32760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32749 and 32760.

How to find the GCF of 32749 and 32760?

We will first find the prime factorization of 32749 and 32760. After we will calculate the factors of 32749 and 32760 and find the biggest common factor number .

Step-1: Prime Factorization of 32749

Prime factors of 32749 are 32749. Prime factorization of 32749 in exponential form is:

32749 = 32749¹

Step-2: 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-3: Factors of 32749

List of positive integer factors of 32749 that divides 32749 without a remainder.

Step-4: Factors of 32760

List of positive integer factors of 32760 that divides 32749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32749 and 32760. The biggest common factor number is the GCF number.
So the greatest common factor 32749 and 32760 is 1.

Also check out the Least Common Multiple of 32749 and 32760