What is the Greatest Common Factor of 32736 and 32745?

Greatest common factor (GCF) of 32736 and 32745 is 3.

GCF(32736,32745) = 3

We will now calculate the prime factors of 32736 and 32745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32736 and 32745.

How to find the GCF of 32736 and 32745?

We will first find the prime factorization of 32736 and 32745. After we will calculate the factors of 32736 and 32745 and find the biggest common factor number .

Step-1: Prime Factorization of 32736

Prime factors of 32736 are 2, 3, 11, 31. Prime factorization of 32736 in exponential form is:

32736 = 2⁵ × 3¹ × 11¹ × 31¹

Step-2: Prime Factorization of 32745

Prime factors of 32745 are 3, 5, 37, 59. Prime factorization of 32745 in exponential form is:

32745 = 3¹ × 5¹ × 37¹ × 59¹

Step-3: Factors of 32736

List of positive integer factors of 32736 that divides 32736 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 31, 32, 33, 44, 48, 62, 66, 88, 93, 96, 124, 132, 176, 186, 248, 264, 341, 352, 372, 496, 528, 682, 744, 992, 1023, 1056, 1364, 1488, 2046, 2728, 2976, 4092, 5456, 8184, 10912, 16368

Step-4: Factors of 32745

List of positive integer factors of 32745 that divides 32736 without a remainder.

1, 3, 5, 15, 37, 59, 111, 177, 185, 295, 555, 885, 2183, 6549, 10915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32736 and 32745. The biggest common factor number is the GCF number.
So the greatest common factor 32736 and 32745 is 3.

Also check out the Least Common Multiple of 32736 and 32745