What is the Greatest Common Factor of 20757 and 20772?

Greatest common factor (GCF) of 20757 and 20772 is 3.

GCF(20757,20772) = 3

We will now calculate the prime factors of 20757 and 20772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20757 and 20772.

How to find the GCF of 20757 and 20772?

We will first find the prime factorization of 20757 and 20772. After we will calculate the factors of 20757 and 20772 and find the biggest common factor number .

Step-1: Prime Factorization of 20757

Prime factors of 20757 are 3, 11, 17, 37. Prime factorization of 20757 in exponential form is:

20757 = 3¹ × 11¹ × 17¹ × 37¹

Step-2: Prime Factorization of 20772

Prime factors of 20772 are 2, 3, 577. Prime factorization of 20772 in exponential form is:

20772 = 2² × 3² × 577¹

Step-3: Factors of 20757

List of positive integer factors of 20757 that divides 20757 without a remainder.

1, 3, 11, 17, 33, 37, 51, 111, 187, 407, 561, 629, 1221, 1887, 6919

Step-4: Factors of 20772

List of positive integer factors of 20772 that divides 20757 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 577, 1154, 1731, 2308, 3462, 5193, 6924, 10386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20757 and 20772. The biggest common factor number is the GCF number.
So the greatest common factor 20757 and 20772 is 3.

Also check out the Least Common Multiple of 20757 and 20772