What is the Greatest Common Factor of 32742 and 32757?

Greatest common factor (GCF) of 32742 and 32757 is 3.

GCF(32742,32757) = 3

We will now calculate the prime factors of 32742 and 32757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32742 and 32757.

How to find the GCF of 32742 and 32757?

We will first find the prime factorization of 32742 and 32757. After we will calculate the factors of 32742 and 32757 and find the biggest common factor number .

Step-1: Prime Factorization of 32742

Prime factors of 32742 are 2, 3, 17, 107. Prime factorization of 32742 in exponential form is:

32742 = 2¹ × 3² × 17¹ × 107¹

Step-2: Prime Factorization of 32757

Prime factors of 32757 are 3, 61, 179. Prime factorization of 32757 in exponential form is:

32757 = 3¹ × 61¹ × 179¹

Step-3: Factors of 32742

List of positive integer factors of 32742 that divides 32742 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 107, 153, 214, 306, 321, 642, 963, 1819, 1926, 3638, 5457, 10914, 16371

Step-4: Factors of 32757

List of positive integer factors of 32757 that divides 32742 without a remainder.

1, 3, 61, 179, 183, 537, 10919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32742 and 32757. The biggest common factor number is the GCF number.
So the greatest common factor 32742 and 32757 is 3.

Also check out the Least Common Multiple of 32742 and 32757