What is the Greatest Common Factor of 32746 and 32752?

Greatest common factor (GCF) of 32746 and 32752 is 2.

GCF(32746,32752) = 2

We will now calculate the prime factors of 32746 and 32752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32746 and 32752.

How to find the GCF of 32746 and 32752?

We will first find the prime factorization of 32746 and 32752. After we will calculate the factors of 32746 and 32752 and find the biggest common factor number .

Step-1: Prime Factorization of 32746

Prime factors of 32746 are 2, 7, 2339. Prime factorization of 32746 in exponential form is:

32746 = 2¹ × 7¹ × 2339¹

Step-2: 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-3: Factors of 32746

List of positive integer factors of 32746 that divides 32746 without a remainder.

1, 2, 7, 14, 2339, 4678, 16373

Step-4: Factors of 32752

List of positive integer factors of 32752 that divides 32746 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32746 and 32752. The biggest common factor number is the GCF number.
So the greatest common factor 32746 and 32752 is 2.

Also check out the Least Common Multiple of 32746 and 32752