What is the Greatest Common Factor of 32752 and 32756?

Greatest common factor (GCF) of 32752 and 32756 is 4.

GCF(32752,32756) = 4

We will now calculate the prime factors of 32752 and 32756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32752 and 32756.

How to find the GCF of 32752 and 32756?

We will first find the prime factorization of 32752 and 32756. After we will calculate the factors of 32752 and 32756 and find the biggest common factor number .

Step-1: Prime Factorization of 32752

Prime factors of 32752 are 2, 23, 89. Prime factorization of 32752 in exponential form is:

32752 = 2⁴ × 23¹ × 89¹

Step-2: Prime Factorization of 32756

Prime factors of 32756 are 2, 19, 431. Prime factorization of 32756 in exponential form is:

32756 = 2² × 19¹ × 431¹

Step-3: Factors of 32752

List of positive integer factors of 32752 that divides 32752 without a remainder.

1, 2, 4, 8, 16, 23, 46, 89, 92, 178, 184, 356, 368, 712, 1424, 2047, 4094, 8188, 16376

Step-4: Factors of 32756

List of positive integer factors of 32756 that divides 32752 without a remainder.

1, 2, 4, 19, 38, 76, 431, 862, 1724, 8189, 16378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32752 and 32756. The biggest common factor number is the GCF number.
So the greatest common factor 32752 and 32756 is 4.

Also check out the Least Common Multiple of 32752 and 32756