What is the Greatest Common Factor of 32762 and 32772?

Greatest common factor (GCF) of 32762 and 32772 is 2.

GCF(32762,32772) = 2

We will now calculate the prime factors of 32762 and 32772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32762 and 32772.

How to find the GCF of 32762 and 32772?

We will first find the prime factorization of 32762 and 32772. After we will calculate the factors of 32762 and 32772 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 32772

Prime factors of 32772 are 2, 3, 2731. Prime factorization of 32772 in exponential form is:

32772 = 2² × 3¹ × 2731¹

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 32772

List of positive integer factors of 32772 that divides 32762 without a remainder.

1, 2, 3, 4, 6, 12, 2731, 5462, 8193, 10924, 16386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32762 and 32772. The biggest common factor number is the GCF number.
So the greatest common factor 32762 and 32772 is 2.

Also check out the Least Common Multiple of 32762 and 32772