What is the Greatest Common Factor of 32762 and 32782?

Greatest common factor (GCF) of 32762 and 32782 is 2.

GCF(32762,32782) = 2

We will now calculate the prime factors of 32762 and 32782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32762 and 32782.

How to find the GCF of 32762 and 32782?

We will first find the prime factorization of 32762 and 32782. After we will calculate the factors of 32762 and 32782 and find the biggest common factor number .

Step-1: Prime Factorization of 32762

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

32762 = 2¹ × 16381¹

Step-2: Prime Factorization of 32782

Prime factors of 32782 are 2, 37, 443. Prime factorization of 32782 in exponential form is:

32782 = 2¹ × 37¹ × 443¹

Step-3: Factors of 32762

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

1, 2, 16381

Step-4: Factors of 32782

List of positive integer factors of 32782 that divides 32762 without a remainder.

1, 2, 37, 74, 443, 886, 16391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32762 and 32782. The biggest common factor number is the GCF number.
So the greatest common factor 32762 and 32782 is 2.

Also check out the Least Common Multiple of 32762 and 32782