What is the Greatest Common Factor of 20746 and 20757?

Greatest common factor (GCF) of 20746 and 20757 is 11.

GCF(20746,20757) = 11

We will now calculate the prime factors of 20746 and 20757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20746 and 20757.

How to find the GCF of 20746 and 20757?

We will first find the prime factorization of 20746 and 20757. After we will calculate the factors of 20746 and 20757 and find the biggest common factor number .

Step-1: Prime Factorization of 20746

Prime factors of 20746 are 2, 11, 23, 41. Prime factorization of 20746 in exponential form is:

20746 = 2¹ × 11¹ × 23¹ × 41¹

Step-2: 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-3: Factors of 20746

List of positive integer factors of 20746 that divides 20746 without a remainder.

1, 2, 11, 22, 23, 41, 46, 82, 253, 451, 506, 902, 943, 1886, 10373

Step-4: Factors of 20757

List of positive integer factors of 20757 that divides 20746 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20746 and 20757. The biggest common factor number is the GCF number.
So the greatest common factor 20746 and 20757 is 11.

Also check out the Least Common Multiple of 20746 and 20757