What is the Greatest Common Factor of 20744 and 20756?

Greatest common factor (GCF) of 20744 and 20756 is 4.

GCF(20744,20756) = 4

We will now calculate the prime factors of 20744 and 20756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20744 and 20756.

How to find the GCF of 20744 and 20756?

We will first find the prime factorization of 20744 and 20756. After we will calculate the factors of 20744 and 20756 and find the biggest common factor number .

Step-1: Prime Factorization of 20744

Prime factors of 20744 are 2, 2593. Prime factorization of 20744 in exponential form is:

20744 = 2³ × 2593¹

Step-2: Prime Factorization of 20756

Prime factors of 20756 are 2, 5189. Prime factorization of 20756 in exponential form is:

20756 = 2² × 5189¹

Step-3: Factors of 20744

List of positive integer factors of 20744 that divides 20744 without a remainder.

1, 2, 4, 8, 2593, 5186, 10372

Step-4: Factors of 20756

List of positive integer factors of 20756 that divides 20744 without a remainder.

1, 2, 4, 5189, 10378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20744 and 20756. The biggest common factor number is the GCF number.
So the greatest common factor 20744 and 20756 is 4.

Also check out the Least Common Multiple of 20744 and 20756