What is the Greatest Common Factor of 32742 and 32753?

Greatest common factor (GCF) of 32742 and 32753 is 1.

GCF(32742,32753) = 1

We will now calculate the prime factors of 32742 and 32753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32742 and 32753.

How to find the GCF of 32742 and 32753?

We will first find the prime factorization of 32742 and 32753. After we will calculate the factors of 32742 and 32753 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 32753

Prime factors of 32753 are 7, 4679. Prime factorization of 32753 in exponential form is:

32753 = 7¹ × 4679¹

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 32753

List of positive integer factors of 32753 that divides 32742 without a remainder.

1, 7, 4679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32742 and 32753. The biggest common factor number is the GCF number.
So the greatest common factor 32742 and 32753 is 1.

Also check out the Least Common Multiple of 32742 and 32753