What is the Greatest Common Factor of 32754 and 32762?

Greatest common factor (GCF) of 32754 and 32762 is 2.

GCF(32754,32762) = 2

We will now calculate the prime factors of 32754 and 32762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32754 and 32762.

How to find the GCF of 32754 and 32762?

We will first find the prime factorization of 32754 and 32762. After we will calculate the factors of 32754 and 32762 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32762

Prime factors of 32762 are 2, 16381. Prime factorization of 32762 in exponential form is:

32762 = 2¹ × 16381¹

Step-3: Factors of 32754

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

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

Step-4: Factors of 32762

List of positive integer factors of 32762 that divides 32754 without a remainder.

1, 2, 16381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32754 and 32762. The biggest common factor number is the GCF number.
So the greatest common factor 32754 and 32762 is 2.

Also check out the Least Common Multiple of 32754 and 32762