What is the Greatest Common Factor of 32745 and 32754?

Greatest common factor (GCF) of 32745 and 32754 is 3.

GCF(32745,32754) = 3

We will now calculate the prime factors of 32745 and 32754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32745 and 32754.

How to find the GCF of 32745 and 32754?

We will first find the prime factorization of 32745 and 32754. After we will calculate the factors of 32745 and 32754 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32754

Prime factors of 32754 are 2, 3, 53, 103. Prime factorization of 32754 in exponential form is:

32754 = 2¹ × 3¹ × 53¹ × 103¹

Step-3: Factors of 32745

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

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

Step-4: Factors of 32754

List of positive integer factors of 32754 that divides 32745 without a remainder.

1, 2, 3, 6, 53, 103, 106, 159, 206, 309, 318, 618, 5459, 10918, 16377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32745 and 32754. The biggest common factor number is the GCF number.
So the greatest common factor 32745 and 32754 is 3.

Also check out the Least Common Multiple of 32745 and 32754