What is the Greatest Common Factor of 32744 and 32748?

Greatest common factor (GCF) of 32744 and 32748 is 4.

GCF(32744,32748) = 4

We will now calculate the prime factors of 32744 and 32748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32744 and 32748.

How to find the GCF of 32744 and 32748?

We will first find the prime factorization of 32744 and 32748. After we will calculate the factors of 32744 and 32748 and find the biggest common factor number .

Step-1: Prime Factorization of 32744

Prime factors of 32744 are 2, 4093. Prime factorization of 32744 in exponential form is:

32744 = 2³ × 4093¹

Step-2: Prime Factorization of 32748

Prime factors of 32748 are 2, 3, 2729. Prime factorization of 32748 in exponential form is:

32748 = 2² × 3¹ × 2729¹

Step-3: Factors of 32744

List of positive integer factors of 32744 that divides 32744 without a remainder.

1, 2, 4, 8, 4093, 8186, 16372

Step-4: Factors of 32748

List of positive integer factors of 32748 that divides 32744 without a remainder.

1, 2, 3, 4, 6, 12, 2729, 5458, 8187, 10916, 16374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32744 and 32748. The biggest common factor number is the GCF number.
So the greatest common factor 32744 and 32748 is 4.

Also check out the Least Common Multiple of 32744 and 32748